Find the next number in the series. 10,11,15,24,…..

Concept: In this series, each term is obtained by adding the square of the next positive integer (1², 2², 3², 4², …) to the previous term. This is a rising second-difference (sum-of-squares) pattern commonly tested in number series questions.

1. 10 + 12 = 11

2. 11 + 22 = 15

3. 15 + 32 = 24

4. 24 + 42 = 40

Cross-check: the successive differences are 1, 4, 9, 16 — exactly 12, 22, 32, 42 — confirming the pattern holds throughout the series, so the next number is 40.