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Find the 51st term of the following series: 12, 13.5, 15, 16.5, 18, …

Paper 1 · Mathematical Reasoning and Aptitude UGC NET December 2022 (11.03.2023) Shift-II (Sociology)
Find the 51st term of the following series: 12, 13.5, 15, 16.5, 18, …
A78
B87 ✓ Correct
C89
D85
Correct answer: (B) 87 — The 51st term is 87, so the answer is 87.
Explanation
The 51st term is 87, so the answer is 87.
The series is an arithmetic progression starting at 12.
Each term rises by a common difference of 1.5.
The 51st term is 12 plus 50 times the common difference.
That is 12 plus 50 times 1.5, which is 12 plus 75.
That equals 87.
So the answer is 87.

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