JEE Main 2023 — Sequences And Series Question with Solution
From: JEE Main 2023 (Online) 10th April Evening Shift
Question
Suppose be in an arithmetico-geometric progression. If the common ratio of the corresponding geometric progression is 2 and the sum of all 5 terms of the arithmetico-geometric progression is , then is equal to __________.
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Show full solutionCorrect answer: 16
Correct answer
16
Step-by-step explanation
Since, common ratio of A.G.P. is 2 therefore A.G.P. can be taken as
also sum of thes A.G.P. is
Hence,
also sum of thes A.G.P. is
Hence,
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This is a previous-year question from JEE Main 2023, 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.