What Comes Next – Series

Difficulty: Hard

What are the next 2 numbers in the following series?

2, 12, 36, 80, 150, 252, 392, ?, ?

 

Hint

Try exponents.

Click here for Solution

1^2 + 1^3 = 2
2^2 + 2^3 = 12
3^2 + 3^3 = 36
4^2 + 4^3 = 80
and so on. The next two numbers in the series are the 8th and 9th numbers, so they are
8^2 + 8^3 = 576
and
9^2 + 9^3 = 810.

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