#1621 - Find The Missing Number In The Series
Complete the following series by finding the missing last term.
2, 12, 36, 80, 150, __?
252
The pattern that has been followed in the given series is:
n^3 + n^2, where n = 1, 2, 3, ....
1^3 + 1^2 = 1 + 1 = 2
2^3 + 2^2 = 8 + 4 = 12
3^3 + 3^2 = 27 + 9 = 36
4^3 + 4^2 = 64 + 16 = 80
5^3 + 5^2 = 125 + 25 = 150
Following the same pattern, the last term is:
6^3 + 6^2 = 216 + 36 = 252.