# Complete the string with the missing number 2,8,14,20,x,32.

justaguide | College Teacher | (Level 2) Distinguished Educator

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We have the series 2, 8, 14, 20, x, 32.

If we have a look at the terms we see that 8 - 2 = 14 - 8 = 20 - 14 = 6.

Therefore the series is an arithmetic progression with the common difference 6.

So x - 20 = 6

=> x = 26

Again, as verification we see  that 32 - 26 = 6.

The missing term x is equal to 26.

judibeefl | Elementary School Teacher | (Level 1) eNoter

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This is a pattern sequence question. Look at the numbers we have been given:

2,8,14,20, X, 32

X is the number missing in the pattern sequence. Look at the other given numbers; 2, 8, 14, 20. Do you see a number pattern here amongst these numbers? Look at the numbers 2 and 8. What is the number difference here between the numbers? To get to the number 8 from the number 2, how many spaces must we move. We are already on 2, so let us count over to 8, starting with the number 3 because we ae already on 2!   3, 4, 5, 6, 7, 8 How many spaces did we need to count over to get to the numbe 8?  6, that is correct!  Now let's do the same steps for the numbers between 8 and 14; ready; 9,10,11,12,13,14. How many spaces did we need to get to 14?   6.   Do you see a number sequence pattern now? If so, you should be able to find out what X is by adding the pattern number we just discovered! Are you still not sure? Let's take the numbers 14 and 20, and apply the same steps; ready?  15, 16,17,18,19,20. How many spaces did we need to get to 20?  6!  Hmm that number 6 seems to have come 3 times now!  Let us see what happens if we count over 6 spaces from here; ready?  21,22,23,24,25,26. Great, now let us take the last number, and count back 6 numbers and see what number that brings us too, resdy?  31,30,29,28,27,26. Hmm there is that number 26 again. Let us bring the original question back:

2,8,14,20, X, 32 What number logically could and will replace the letter X?  26?  Great, because 26 is your answer!

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

We notice that each term from the given series could be obtained by adding the constant amount 6 to the previous term.

8 = 2 + 6

14 = 8 + 6

20 = 14 + 6

This tells us that "x" is the following term in the given string, that can be obtained by adding the constant amount 6, to the previous term 20.

x = 20 + 6

x = 26

The given string is an arithmetic series, whose common difference is d = 6.