JEE Main 2021 — Sequences And Series Question with Solution
From: JEE Main 2021 (Online) 25th February Morning Shift
Question
Let A1, A2, A3, ....... be squares such that for each n 1, the length of the side of An equals the length of diagonal of An+1. If the length of A1 is 12 cm, then the smallest value of n for which area of An is less than one, is __________.
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Show full solutionCorrect answer: 9
Correct answer
9
Step-by-step explanation
Side lengths are in G.P.
Area < 1
Smallest n = 9
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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.