JEE Main 2020MathematicsSequences and SeriesMediumMCQ

JEE Main 2020 — Sequences and Series Question with Solution

JEE Main 2020 (05 Sep Shift 1)

Question

If 210+29·31+28·32+……+2·39+310=S-211, then S is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B311

Step-by-step explanation

S'=210+29·3+28·32+…….+2·39+310

S'=2101+32+322+…….+329+3210

G.P. →a=1,r=32,n=11

S'=210·3211-132-1=211311211-1

=311-211

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About this question

This is a previous-year question from JEE Main 2020, 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.