JEE Main 2020MathematicsSequences and SeriesEasyMCQ

JEE Main 2020 — Sequences and Series Question with Solution

JEE Main 2020 (03 Sep Shift 1)

Question

If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common difference of this A.P.is

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Show full solutionCorrect option: A
Correct answer
A16

Step-by-step explanation

Sum of first25 terms=sum of next 15 terms

S25=SNext 15

⇒S25+SNext 15=S40

⇒2×S25=S40

⇒2×2522×3+24d=4022×3+39d

⇒52×3+24d=42×3+39d

⇒30+120d=24+156d

⇒36d=6⇒d=16

 

 

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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.