JEE Main 2023 — Sequences And Series Question with Solution
From: JEE Main 2023 (Online) 10th April Morning Shift
Question
Let the first term and the common ratio r of a geometric progression be positive integers. If the sum of squares of its first three terms is 33033, then the sum of these three terms is equal to
Choose an option
Show full solutionCorrect option: B
Correct answer
B231
Step-by-step explanation
Given that the first term and common ratio of a geometric progression be positive integer. So, their 1st three terms are
According to the question,
So, sum of these first three terms is
According to the question,
So, sum of these first three terms is
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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.