The image presents a number sequence: 1, 5, 14, 30, 55, ... and asks to find the next number in the sequence.

1. Problem Description

The image presents a number sequence: 1, 5, 14, 30, 55, ... and asks to find the next number in the sequence.

2. Solution Steps

Let's analyze the differences between consecutive terms:

5 - 1 = 4

14 - 5 = 9

30 - 14 = 16

55 - 30 = 25

The differences are 4, 9, 16, 25, which are perfect squares: $2^2, 3^2, 4^2, 5^2$.

The next difference should be $6^2 = 36$.

Thus, the next term in the sequence is 55 +

3

6. 55 + 36 = 91

3. Final Answer

The next number in the sequence is 91.