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Find the missing term in the following number series. 2, 12, 36, 80, ?, 252, 392
Question

Find the missing term in the following number series. 2, 12, 36, 80, ?, 252, 392

A.

146

B.

150

C.

168

D.

172

Correct option is B

Given series:
2, 12, 36, 80, ?, 252, 392
Logic:
Each term follows the pattern
n × n × (n + 1)
starting from n= 1 
Explanation:
2 = 1 × 1 × 2
12 = 2 × 2 × 3
36 = 3 × 3 × 4
80 = 4 × 4 × 5
? = 5 × 5 × 6 = 150
252 = 6 × 6 × 7
392 = 7 × 7 × 8
Thus, the missing number is 150.
Thus, correct option is (B).

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