JEE Main 2022 — Sequences And Series Question with Solution
From: JEE Main 2022 (Online) 28th June Evening Shift
Question
If n arithmetic means are inserted between a and 100 such that the ratio of the first mean to the last mean is 1 : 7 and a + n = 33, then the value of n is :
Choose an option
Show full solutionCorrect option: C
Step-by-step explanation
a, A1, A2 ........... An, 100
Let d be the common difference of above A.P. then
...... (i)
and ..... (ii)
and
but
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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.