JEE Main 2019MathematicsSequences and SeriesEasyMCQ

JEE Main 2019 — Sequences and Series Question with Solution

JEE Main 2019 (12 Apr Shift 2)

Question

If a1,a2,a3,.... are in A.P. such that a1+a7+a16=40, then the sum of the first 15 terms of this A.P is:

Choose an option

Show full solutionCorrect option: D
Correct answer
D200

Step-by-step explanation

Let the 1st terms of A.P. be 'a' and common difference 'd' .
Given  a1+a7+a16=40
⇒a+a+6d+a+15d=40
⇒a+7d=403 ….(1)
Sum of first 15 term
S15=152[2a+14d]
=152×2×403=200

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About this question

This is a previous-year question from JEE Main 2019, 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.