JEE Main 2024 — Sequences And Series Question with Solution
From: JEE Main 2024 (Online) 29th January Evening Shift
Question
If each term of a geometric progression with and , is the arithmetic mean of the next two terms and , then is equal to
Choose an option
Show full solutionCorrect option: A
Step-by-step explanation
Let th term of the GP be . Given,
Hence, we get, (as )
So, (Sum upto 20 terms) (Sum upto 18 terms)
Putting the values and ;
we get
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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.