What Comes Next in the Sequence; 2, 12, 36, 80, 150, 252, 392, _ ?

• Bhavini


• 7 Dec 2015

Check the series of numbers given below and find the value of ??

What comes next in the sequence;

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

Answer:

The series follows the following pattern
Square of n + cube of n; where n is an integer ascending one at a time, starting from 1.

So the series can be represented as;

n = 1 => 1^2 + 1^3 = 1 + 1 = 1;

n = 2 => 2^2 + 2^3 = 4 + 8 = 12;

n = 3 => 3^2 + 3^3 = 9 + 27 = 36;

and so on…

Therefore the next number will be
n = 8 => 8^2 + 8^3 = 576

Answer= 576