The next number in the series 2, 5, 11, 20, 32, 47, is

Question

The next number in the series 2, 5, 11, 20, 32, 47, is

Answer 1

The next number in the sequence will be 65, because the intervals between the elements are 3, 6, 9, 12, and 15.

 

2     5     11     20     32     47

| -3- | -6-| -9- | -12- | -15- | -18- |

 

Following this pattern, the next interval will be 18, and the next number in the sequence will be 65.

 

Answer 2

Let's take a look at how it's increasing:

2 + 3 = 5

5 + 6 = 11

11 + 9 = 20

20 + 12 = 32

32 + 15 = 47

 

Each progressing number is a cumulative 3 added to it. 15 + 3 = 18. Add 18 to 47, and you will have your answer.