JEE Main 2024MathematicsSequences and SeriesEasyMCQ

JEE Main 2024 — Sequences and Series Question with Solution

JEE Main 2024 (29 Jan Shift 1)

Question

If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P, then the common ratio of the G.P. is equal to

Choose an option

Show full solutionCorrect option: D
Correct answer
D6

Step-by-step explanation

For the given GP, n=64, Sn=7So ; where So→Sum of odd terms

⇒a+ar+ar2+ar3+...+ar63=7a+ar2+ar4…..+ar62

⇒a1-r641-r=7a1-r641-r2

⇒1-r64=71-r641+r

⇒1=71+r

⇒1+r=7

⇒r=6

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About this question

This is a previous-year question from JEE Main 2024, 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.