Find the next number in the given series. 1, 6, 13, 22, ___

To find the next number in the series 1, 6, 13, 22, ..., we need to identify the pattern of differences between consecutive terms.

Step-by-Step Analysis
Find the differences between terms:

6 - 1 = 5

13 - 6 = 7

22 - 13 = 9

Identify the pattern:

The differences are 5, 7, and 9. These are consecutive odd numbers starting from 5.

Following this logic, the next difference should be the next odd number, which is 11.

Calculate the next number:

Add this difference to the last term: 22 + 11 = 33.