Please enter the missing number: 2, 9, 20, 37, 64, 107, ?

Solution:

Given sequence 2, 9, 20, 37, 64, 107,

The difference between them is given as 7, 11, 17, 27, 43

17 = 7 + 11 - 1

27 = 17 + 11 - 1

43 = 27 + 17 - 1

Thus the next difference is 43 + 27 - 1 = 69

The missing number in the series is 107+ 69= 176

Please enter the missing number: 2, 9, 20, 37, 64, 107, ?

Summary:

The missing number: 2, 9, 20, 37, 64, 107, in the sequence is 176