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Find the missing number in the sequence: 4, 9, 20, 43, 90, ?

Paper 1 · Mathematical Reasoning and Aptitude UGC NET December 2021 June 2022 (12.07.2022) Shift-II
Find the missing number in the sequence: 4, 9, 20, 43, 90, ?
A180
B185 ✓ Correct
C133
D190
Correct answer: (B) 185 — The answer is 185.
Explanation
The answer is 185.
Each term is the previous one doubled plus a rising counter.
So 4 times 2 plus 1 is 9, and 9 times 2 plus 2 is 20.
Then 20 times 2 plus 3 is 43, and 43 times 2 plus 4 is 90.
The next term is 90 times 2 plus 5.
That is 185.
So the answer is 185.

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