Correct option is B
Given series:
2, 12, 36, 80, ?, 252, 392
Logic:
Each term follows the pattern
n × n × (n + 1)
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
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).
Thus, correct option is (B).