Identify the next number in the series: 13, 35, 57, 79, ___

To identify the next number in the series, we must determine the underlying pattern.

Step-by-Step Analysis
Examine the differences between consecutive terms:

35 - 13 = 22

57 - 35 = 22

79 - 57 = 22

Identify the Pattern: The series increases by a constant difference of 22, which is an Arithmetic Progression (AP).

Calculate the next term:

Following the established pattern, we add 22 to the last term: 79 + 22 = 101.