JEE Main 2022MathematicsSequences And SeriesArithmetic ProgressionmediumMCQ

JEE Main 2022 — Sequences And Series Question with Solution

From: JEE Main 2022 (Online) 24th June Morning Shift

Question

If , where n is an even integer, is an arithmetic progression with common difference 1, and , then n is equal to :

Choose an option

Show full solutionCorrect option: B
Correct answer
B96

Step-by-step explanation

a1 + a2 + a3 + ...... + an = 192

..... (1)

Now,

a2 + a4 + a6 + ...... + an = 120

Here total terms present.

..... (2)

Subtracting (1) from (2), we get

n = 96

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About this question

This is a previous-year question from JEE Main 2022, 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.