Question

The missing number in the sequence 2, 5, 10, ?, 26, 37 is .........?​

Answer 1

17.

Explanation:

The differences form an arithmetic sequence 3, 5, 7, 9,,11.

The missing number is 10 + 7 = 17.

This is a quadratic sequence.

The nth term = n^2 + 1.

Thus the 4th term = 4^2 + 1 = 17.