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What number would replace the question mark in the series 1, 4, 3, 5, 6, 9,…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET December 2022 (12.03.2023) Shift-II (Management)
What number would replace the question mark in the series 1, 4, 3, 5, 6, 9, 13, 20, 31, ?
A49 ✓ Correct
B51
C47
D45
Correct answer: (A) 49 — The answer is 49.
Explanation
The answer is 49.
Each term is formed by adding the two terms before it and subtracting 2.
For example 3 plus 5 minus 2 gives 6.
Then 6 plus 9 minus 2 gives 13, and 9 plus 13 minus 2 gives 20.
Then 13 plus 20 minus 2 gives 31.
So the next term is 20 plus 31 minus 2, which is 49.
So the answer is 49.

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