Find the next number in the following series: 6, 14, 36, 98, __?

Question

Find the number that comes next in the following series:

3, 7, 12, 14, 16, 19, 21, 25, 30, 41, 45, 52, 54, 56, 59, 61, 65, 70, ?

Answer 1

1^1+2^1+3^1 = 6

1^2 + 2^2 + 3^2 = 14

1^3 + 2^3 + 3^3 = 36

1^4 + 2^4 + 3^4 = 98

Thus,

1^5+2^5+3^5 = 276

Hence the answer is 276