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