What is the next number in the sequence 1 2 3 4?

Step by step solution of the sequence is Series are based on square of a number 1 = 12, 4 = 22, 9 = 32, 16 = 42, 25 = 52 ∴ The next number for given series 1, 2, 3, 4, 5 is 6 ∴ Next possible number is 62 = 36

How do you find the next term in a sequence?

First, find the common difference for the sequence. Subtract the first term from the second term. Subtract the second term from the third term. Subtract the third term from the fourth term. To find the next value, add to the last given number. Oklahoma Baptist University, Bachelor of Science, Mathematics.

What does nextnumber do?

NextNumber finds the next number in a sequence of numbers Find next number About NextNumber• Classic Sequences• Contact NextNumber

How to find the general form of an arithmetic sequence?

The general form of an arithmetic sequence can be written as: a n = a 1 + f × (n-1) or more generally. where an refers to the nth. term in the sequence. a n = a m + f × (n-m) a1 is the first term. i.e. a 1, a 1 + f, a 1 + 2f,

What is the pattern of the number sequence 4444 – 36 and 20-12?

44 – 36 = 8 and 20 – 12 = 8. The pattern of the sequence is, therefore, the addition of 8 to the preceding term. n = 20 + 8 = 28. What are the Types of Number Sequence? There are many number sequences, but the arithmetic sequence and geometric sequence are the most commonly used ones. Let’s see them one by one.

How do you find the pattern of a number sequence?

Identify the pattern of the sequence by finding the difference between two consecutive terms. 44 – 36 = 8 and 20 – 12 = 8. The pattern of the sequence is, therefore, the addition of 8 to the preceding term. n = 20 + 8 = 28. What are the Types of Number Sequence?

How do you find the next term in arithmetic sequence?

Arithmetic Sequence. This is a type of number sequence where the next term is found by adding a constant value to its predecessor. When the first term, denoted as x 1, and d is the common difference between two consecutive terms, the sequence is generalized in the following formula: x n = x 1 + (n-1) d. where;

What are the number series practice questions?

In the Number Series Practice Questions, you will see many questions that are based on the concepts that we already learned. So let us begin and remember to set a time limit for yourself before you attempt this section. Here we deal with the questions in which series of numbers, which are generally called the terms of the series is given.

Why indiabix for number series?

IndiaBIX provides you lots of fully solved Logical Reasoning (Number Series) questions and answers with Explanation. Solved examples with detailed answer description, explanation are given and it would be easy to understand. All students, freshers can download Logical Reasoning Number Series quiz questions with answers as PDF files and eBooks.

What are the numbers in the alternating subtraction and addition series?

In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on. Look at this series: 53, 53, 40, 40, 27, 27, What number should come next? In this series, each number is repeated, then 13 is subtracted to arrive at the next number.

What is the next number after 6^2?

This is a pattern of square numbers. 1^2=1, 2^2=2, 3^2=9, 4^2=16, and 5^2=25. The next number would be 36 because 6^2 equals 36. What are the different errors and mistakes in English? Grammatical mistakes can be easy to make. But fear not!

What is the next number after 36?

Therefore, the next number is logically 36, the square of 6. I mean, if you wanted to be technical, you could say that the sequence doesn’t have a pattern, and the next number is anything. Practically, however, the answer is, in fact, 36. Others are mostly seeing a sequence of perfect squares.

How many pairs of 2 7 8 and 3 12 9 are formed?

The answer is 13. Splitting the number into 2 groups 2,7,8 and 3,12,9. Comparing 2&3, 7&12, 8&9. Here the difference between second pair is added with with 1st number of the 1st pair similarly difference between 3rd pair added with the 1st number of 2nd pair and they form a sequence that’s how 2,7,8 formed.

What is the number of functions of a given sequence?

The most obvious answer is 20 as the pretty much everybody states. There are a few other fairly obvious options since it is clear people seem to think there are two sequences which may or may not be functions of each other. 3, 4, 6, 10,….

How do you find the next term in an arithmetic sequence?

In this case, adding 4 4 to the previous term in the sequence gives the next term. In other words, an = a1 +d(n−1) a n = a 1 + d ( n – 1). This is the formula of an arithmetic sequence. Substitute in the values of a1 = 5 a 1 = 5 and d = 4 d = 4. Simplify each term. Tap for more steps… Apply the distributive property. Multiply 4 4 by − 1 – 1.

How do you find the 3rd term in the Fibonacci sequence?

Alternatively, subsequent terms could be derived from the previous two, like the Fibonacci sequence, with a constant offset. If the constant k happens to be 10, then the first two terms: 10 + 2 = 12 & 10 + 3 = 13, give the third term 10 + (2 + 3) or 15.

What is the next number in the OEIS sequence?

There’s always A005282 – OEIS, or the Mian-Chowla sequence (follow the link for the definition). The next number in that sequence is 13. Do you want it to be 10, then try looking at A127101 – OEIS, or numbers such that n 2 divides 9 n − 1. I don’t question why someone was interested in that property, but there it is.

What is the next term of 1*1/2?

The Rock reveals the key to success for normal people. The big companies don’t want you to know his secrets. The given series is 16,8,4,2,1,…. Hence the next term = 1*1/2 = 1/2 or 0.5 So the answer would be 0.5 In case if you don’t know what is geometric progression – it the series of numbers where the ratio of two consecutive numbers are same

What is the sequence of the odd numbers from 100 to 96?

The sequence is starting at 100, sequentially subtract all the odd numbers. 100–1=99. 99–3=96. 96–5=91. 91–7=84.

How do you find the sequence 35 40 50 55 60 70?

The sequence 35,40,50,55,65,70,… a (n)= (n+a), (n+b), where n=the previous number and where a and b=5 and 10 respectively alternating between consecutive terms. There is another algorithm that explains the sequence, in case you spotted it.

What is an example of a sequence of numbers?

example: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, In mathematics, a sequence is an ordered list of objects. Accordingly, a number sequence is an ordered list of numbers that follow a particular pattern.

What are the different types of number series?

Different types of Number Series: The most common patterns followed by number series are: Series consisting of Perfect Squares: A series based on Perfect squares is most of the times based on the perfect squares of the numbers in a specific order & generally one of the numbers is missing in this type of series.

How do you find the nth term of a geometric number series?

The geometric number series is generalized in the formula: x n = x 1 × r n-1. where; x n = n th term, x 1 = the first term, r =common ratio, and. n = number of terms. Example 6. For example, given a sequence like 2, 4, 8, 16, 32, 64, 128, …, the n th term can be calculated by applying the geometric formula.

What is the 5th term in the listed sequence?

Looking back at the listed sequence, it can be seen that the 5th term, a5, found using the equation, matches the listed sequence as expected. It is also commonly desirable, and simple, to compute the sum of an arithmetic sequence using the following formula in combination with the previous formula to find an:

What are the different ways to denote a sequence?

There are multiple ways to denote sequences, one of which involves simply listing the sequence in cases where the pattern of the sequence is easily discernible. In cases that have more complex patterns, indexing is usually the preferred notation.

What should be replaced by 34 + 6 to get 40?

In order to get the next number after 34, 6 would be added to it. So, the question mark would be replaced by 34 + 6 = 40. Example 7: What should come in place of question mark in the following series: 2, 3, 6, 11, 18, 27,?

What is the difference between indexing and notation for arithmetic sequence?

In cases that have more complex patterns, indexing is usually the preferred notation. Indexing involves writing a general formula that allows the determination of the nth term of a sequence as a function of n. An arithmetic sequence is a number sequence in which the difference between each successive term remains constant.

How do you add 7 to 36 in a sequence?

First, find a pattern in the sequence. You will notice that each time you move from one number to the very next one, it increases by 7. That is, the difference between one number and the next is 7. Therefore, we can add 7 to 36 and the result will be 43. Thus .

Types of Number Series. 1 1. Addition Series. In this type of number series reasoning, specific numbers based on some pattern are added to get the next number. 2 2. Subtraction Series. 3 3. Multiplication Series. 4 4. Division Series. 5 5. Square Series.

Is 8 27 125 125 343 1331 2197 an increasing series?

In the series 8, 27, 125, 343, 1331, 2197, we can see that it is an increasing series. The series is the cube of the consecutive prime numbers from 2 to 13. The table given below mentions a few other Quantitative Aptitude topics which candidates need to excel in to crack the upcoming bank exams.

What is the next number of the sequence 15+27=42?

So the difference between next number and last number (15) of the original sequence is 27. Thus next number of the sequence is 15+27=42. that is 1, 3, 9 . now add 27 with 15 which becomes 42. How did this girl break the private jet industry with just $250? She was able to accomplish all of this with just $250 to start!

What is the difference between 3 and 6 and 15?

The difference between 3 and 6 is 3 i.e. 3 1. The difference between 6 and 15 is 9 i.e. 3 2. Let the next number in the given sequence be some natural number x. Now, following the pattern, the difference between 15 and x has to be equal to 3 3 = 27. The next number in the sequence is 42. What does Google know about me?

How to find the 21 in the Fibonacci sequence?

The Fibonacci Sequence is found by adding the two numbers before it together. The 2 is found by adding the two numbers before it (1+1) The 21 is found by adding the two numbers before it (8+13)

What is an arithmetic sequence in math?

Arithmetic Sequences. An Arithmetic Sequence is made by adding the same value each time. This sequence has a difference of 3 between each number. The pattern is continued by adding 3 to the last number each time, like this: This sequence has a difference of 5 between each number.

What comes next in the 2nd series?

4,10,28 is a series. Whatever comes next in 2nd series will eventually follow 53 in the main one. In the first series we can see that difference in consecutive numbers are 4, 12 and 36. Hence we can claim that in the sub series 1 there is increment in the gap by multiple of 3 as compared to the previous gap.

What is the next number equal to the last number?

The next number is equal to the last number times 2, minus the second to last number, plus 2. 2, 5 – Next number = 5 x 2 – 2 + 2 = 10 – Check! 2, 5, 10 – Next number = 10 x 2 – 5 + 2 = 17 – Check!

How do you find the n-th term of a series?

From your series 1 + 2 + 4 + 7 + we can see that s = 1, d 1 = 1, c = 1. So you want the n th term here, which means we can calculate the sum up to and including n terms then subtract the sum up to and including n − 1 terms.

What is a simple division series?

This is a simple division series; each number is one-half of the previous number. In other terms to say, the number is divided by 2 successively to get the next result.

How to find the next term in a geometric sequence?

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1 2 1 2 gives the next term. In other words, an = a1 ⋅ rn−1 a n = a 1 ⋅ r n – 1. This is the form of a geometric sequence.

How do you find the common difference of a sequence?

Correct answer: First, find the common difference for the sequence. Subtract the first term from the second term. Subtract the second term from the third term. To find the next value, add to the last given number.

What is the next term in the sequence 26 + 11?

Thus we can see that the differences between adjacent terms in the sequence are the odd numbers and that the next difference must be 11. Therefore the next term in the sequence is \\( 26 + 11 = 37 \\).

What comes next in the sequence 128 – 1 = 127?

Therefore, the next term in the sequence is 128−1 = 127 and, in general, term n in the sequence is given by 2n −1. ◻ What comes next in the sequence 1,2,4,8,16,32,64,…? If you carefully observe, you will see that these numbers are the powers of 2. Therefore, the numbers are 20,21,22,23,24,25,26,….

How to find the next term in the following arithmetic sequence?

Find the next term in the following arithmetic sequence: Possible Answers: Correct answer: Explanation: First, find the common difference for the sequence. Subtract the first term from the second term. Subtract the second term from the third term. To find the next value, add to the last given number. Report an Error.

What is the relation between 324/36 and 972/108?

This sequence consists out of two alternating series. The first series shows the relation between the 1st and 3rd number, 3rd and 5th etc. in this case this following relation exists: -972/-108 = 9 -108/-12=9 The second series shows the relation between the 2nd and 4th number, the 4th and 6th etc. in this case 324/36=9.

How do you find the consecutive numbers 24 28 and 32?

The consecutive number is obtained by adding 3 to the preceding integer. To find the pattern of this, sequence, three consecutive numbers 24, 28 and 32 are examined and the rule obtained. You can notice that, the corresponding number is obtained by adding 4 to the preceding number.

What is the sequence of the first 4 odd numbers?

{1, 2, 3, 4,…} is a very simple sequence (and it is an infinite sequence) {20, 25, 30, 35,…} is also an infinite sequence {1, 3, 5, 7} is the sequence of the first 4 odd numbers (and is a finite sequence) {4, 3, 2, 1} is 4 to 1 backwards

What is an example of an infinite sequence of numbers?

Examples: {1, 2, 3, 4.} is a very simple sequence (and it is an infinite sequence) {1, 3, 5, 7} is the sequence of the first 4 odd numbers (and is a finite sequence) {1, 2, 4, 8, 16, 32.} is an infinite sequence where every term doubles. {a, b, c, d, e} is the sequence of the first 5 letters alphabetically.

What is the next number in the sequence 13112221?

The next number in the sequence is 13112221. The sequence is called the look and say sequence. You start off with 1 and say one-one thus the next number is 11 then we say the numbers out loud two-ones therefore the next number will be 21 and so it goes on.

What are the number sequence tests used by employers with jobtestprep?

You can also practice number sequence tests used by employers with JobTestPrep. 1. Alternating addition of 2 or 5. 2, 4, 9, 11, 16, 18, … 2. The difference decreases with 1 with increasing sequence. 3. This sequence consists out of two alternating series.

What is the missing number in the number series?

840, 960, 1120, 1344,? 1680 is the missing number. Are you seeking for good platform for practicing Number Series questions in online. This is the right place. The time you spent in Fresherslive will be the most beneficial one for you.

Why choose number series?

Number Series questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary. Practice in advance of similar questions on Number Series may improve your performance in the real Exams and Interview.

What is the next number after 6 letters?

The next number in that pattern would be 4+2, which is 6, and ELEVEN is the next number that has six letters. The word length pattern would continue: 5, 5, 7, 6, 6, 8 making the next numbers in the sequence 50, 60, 70, 80, 90, and then I don’t believe there is a number after 90 with 8 letters (one-googol has 9.)

What are the next numbers in the sequence a000961?

According to A000961 – OEIS, it is the list of powers of prime numbers. The next numbers in the sequence are 7,8,9,11,13,16,17,19,23, and so on. Actually, if you go to that site, The On-Line Encyclopedia of Integer Sequences® (OEIS®), you can search for sequences that contain 1,2,3,4,5.

How do you find the next term in a geometric sequence?

5 5, 20 20, 80 80, 320 320 This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4 4 gives the next term. In other words, an = a1 ⋅rn−1 a n = a 1 ⋅ r n – 1.

What is the series of 4 2 2 2 3 6?

4,2,2,3,6,15,45…. Hence answer will be =15. The series is given 4,2,2,3,6 and will come on the next step. We see in in every step multiplication digit increased by 0.5

What is the 4th term of the first series?

So the last term 9 is the 3rd term of second series so next term will be 4th term of first series which is 8 (2,4,6,8….) . Another way to think is to make a pair of 2. Eg 2,3 has the difference of 1. Next term 4 is the is 1 more than 3. Now next pair 4,6 has the difference of 2 and next term 6 has a difference of 0.

Is each element of the sequence the square of the preceding one?

2,4,16,256,… It seems that each element of the sequence is the square of the preceding one, since: This would result in the formula: However, note that we have been told nothing about the nature of this sequence except the first 4 terms. We have not even been told that it is a sequence of numbers.

Is there an infinite sequence of numbers that can be matched?

For example, it can be matched with a cubic formula: Then it would not follow the squaring pattern, but would continue: 2,4,16,256,942,2292,4524,… We could choose any following numbers we like and find a formula that matches them. No infinite sequence is determined purely by its first few terms.

What is the next number in the Fibonacci sequence?

The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,… The next number is found by adding up the two numbers before it: the 2 is found by adding the two numbers before it (1+1),

How do you find the next number after 2 and 3?

The next number is found by adding up the two numbers before it: the 2 is found by adding the two numbers before it (1+1), the 3 is found by adding the two numbers before it (1+2), and so on! It is that simple!

What is the largest multiple of 9 before 599?

To calculate this, first divide 599 by 9 to get the largest multiple of 9 before 599. 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. 59/9 = 6 r 5 again, so the largest multiple is 66. Multiply 66 by 9 to get 594, and subtract this from 599 to get 5, the remainder.

What is the remainder when 599 is divided by 9?

What is the remainder when 599 is divided by 9? The remainder is 5 . To calculate this, first divide 599 by 9 to get the largest multiple of 9 before 599. 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. 59/9 = 6 r 5 again, so the largest multiple is 66.

How do you find the right answer in number series?

You can find the right answer in number series by taking the difference between consecutive pairs of numbers, which form a logical series. In this example, the differences between succeeding pairs of numbers are 1,2, 4, 8, 16, and 32.

What are the terms of the series?

Here we deal with the questions in which series of numbers, which are generally called the terms of the series is given. These terms follow a certain pattern throughout the series. Candidates are asked either to find a missing number or to find the one that does not follow the pattern of the series.

In this case, adding 7 7 to the previous term in the sequence gives the next term. In other words, an = a1 +d(n−1) a n = a 1 + d ( n – 1).

How do you find the formula of an arithmetic sequence?

This is the formula of an arithmetic sequence. Substitute in the values of a1 = 6 a 1 = 6 and d = 7 d = 7. Simplify each term. Tap for more steps… Apply the distributive property. Multiply 7 7 by − 1 – 1. Subtract 7 7 from 6 6.

Is 46 the wrong number in this particular series?

Sol: In this particular question, the pattern used is x 2 + 1 only. But in the middle when 23 x 2 + 1 = 47 should have been written, 46 is written instead of that. So, 46 is the wrong number in this particular series.

What is the next number 27 + 11 = 38?

Sol: In this case consecutive odd numbers have been added in the increasing order. Firstly one, then three, then five and nine. So, in order to obtain the next number, eleven will be added. Therefore, the next number is: 27 + 11 = 38. Example 8: What should be come in place of x in the following series; 2, 2, 4, 12, 48, 240,?

What is the next number after 46 to get 61?

The pattern starts with + 5 then + 7 then +9 then +11 then + http://13….so the next would be to add 15 to 46 and get 61.

How do you find the number series with one term missing?

In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces. The pattern is + 5, + 7, + 9, + 11,… .’. Missing number = 33 + 13 = 46.

What is the next term in the Math series 3 6 18 108?

In the given math series 3,6,18,108 every next term is the multiplication value of the previous two terms. 18 * 108 = 1944, and so on. Therefore the next term in this math series will be 1944. So the series will be 3, 6, 18, 108, 1944.

What is the sequence of numbers in a triangle?

Triangular Number Sequence. 1 The first triangle has just one dot. 2 The second triangle has another row with 2 extra dots, making 1 + 2 = 3. 3 The third triangle has another row with 3 extra dots, making 1 + 2 + 3 = 6. 4 The fourth has 1 + 2 + 3 + 4 = 10. 5 etc!

What is 6th in the sequence 24 at 5th?

That means, 2nd, 4th and 6th are *2 of there previous numbers in given sequence. As 24 is at 5th, so 6th will be 24*2, which is 48. Thanks for reading! Keep Learning 🙂

What is the difference between consecutive squares 1 4 9 16?

Surprising Patterns in the Square Numbers (1, 4, 9, 16…) A quick puzzle for you — look at the first few square numbers: 1, 4, 9, 16, 25, 36, 49… And now find the difference between consecutive squares: 1 to 4 = 3 4 to 9 = 5 9 to 16 = 7 16 to 25 = 9 25 to 36 = 11 … Huh? The odd numbers are sandwiched between the squares? Strange, but true.

What is the number range from 1 to 4 to 9?

1 to 4 = 3 4 to 9 = 5 9 to 16 = 7 16 to 25 = 9 25 to 36 = 11 … Huh? The odd numbers are sandwiched between the squares?