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Find the missing term in the series given below: 2, 12, 36, ?, 150

Paper 1 · Mathematical Reasoning and Aptitude UGC NET June 2024 Re-Exam (28.08.2024) Shift-II
Find the missing term in the series given below: 2, 12, 36, ?, 150
A80 ✓ Correct
B72
C100
D86
Correct answer: (A) 80 — The missing term is 80, so that is the answer.
Explanation
The missing term is 80, so that is the answer.
Each term follows n times n times (n plus 1).
For n equals 2, 2 times 2 times 3 is 12.
For n equals 3, 3 times 3 times 4 is 36.
For n equals 4, 4 times 4 times 5 is 80.
For n equals 5, 5 times 5 times 6 is 150, confirming the pattern.

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