JEE Main 2021 — Sequences And Series Question with Solution
From: JEE Main 2021 (Online) 26th August Evening Shift
Question
Let a1, a2, ......., a10 be an AP with common difference 3 and b1, b2, ........., b10 be a GP with common ratio 2. Let ck = ak + bk, k = 1, 2, ......, 10. If c2 = 12 and c3 = 13, then is equal to _________.
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Show full solutionCorrect answer: 2021
Correct answer
2021
Step-by-step explanation
are in AP common difference
are in GP common ratio
Since,
Now,
So, AP is .
Now,
are in GP common ratio
Since,
Now,
So, AP is .
Now,
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This is a previous-year question from JEE Main 2021, covering the Sequences And Series chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.