Type the next number in this sequence:4,    5,    14,    31,    56

To find the next number in the sequence 4, 5, 14, 31, 56, let's look for a pattern or rule that applies to the sequence.

1. Calculate the differences between consecutive terms: 5 - 4 = 1 14 - 5 = 9 31 - 14 = 17 56 - 31 = 25

2. Now, look at the differences between these differences: 9 - 1 = 8 17 - 9 = 8 25 - 17 = 8

The second differences are constant (8), which suggests that the sequence is generated by a quadratic function.

3. To find the next term, add the last difference (25) to the last term (56): 56 + 25 = 81

Therefore, the next number in the sequence is 81.