JEE Main 2016MathematicsSequences and SeriesHardMCQ

JEE Main 2016 — Sequences and Series Question with Solution

JEE Main 2016 (03 Apr)

Question

If the sum of the first ten terms of the series 1352+2252+3152+42+4452+…., is 165m , then m is equal to 

Choose an option

Show full solutionCorrect option: D
Correct answer
D101

Step-by-step explanation

852+1252+1652 ........ upto ten terms

Tn=4n+452

Tn=16n2+2n+125

Tn=1625n2+2n+1

Sn=1625∑n2+2n+1

Sn=1625 nn+1 2n+16+2nn+12+n

Put n=10 

162510·11·216+2·10·112+10

=1625 385+110+10=1625· 505

=165·101

Hence m=101

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About this question

This is a previous-year question from JEE Main 2016, 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.