Find the missing term in the series give as: 2, 12, 36, 80, 150, 252, ?

A396

B392 ✓ Correct

C378

D366

Correct answer: (B) 392

Explanation

The missing term is 392.

Each term follows n^2 x (n+1) for n = 1, 2, 3, ...

Check : 1^2 x 2 = 2, 2^2 x 3 = 12, 3^2 x 4 = 36, 4^2 x 5 = 80.

Continuing, 5^2 x 6 = 150 and 6^2 x 7 = 252.

For n = 7 : 7^2 x 8 = 49 x 8 = 392.

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