JEE Main 2016MathematicsSequences and SeriesEasyMCQ

JEE Main 2016 — Sequences and Series Question with Solution

JEE Main 2016 (10 Apr Online)

Question

Let a1, a2, a3,…an,… ,be in A.P. If a3+a7+a11+a15=72, then the sum of its first 17 terms is equal to :

Choose an option

Show full solutionCorrect option: A
Correct answer
A306

Step-by-step explanation

a3+a7+a11+a15=72

a3+a15+a7+a11=72

a3+a15=a7+a11=a1+a17

a1+a17=36

S17=172a1+a17=17×18=306

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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.