JEE Main 2020 — Sequences And Series Question with Solution
From: JEE Main 2020 (Online) 7th January Evening Slot
Question
If the sum of the first 40 terms of the series,
3 + 4 + 8 + 9 + 13 + 14 + 18 + 19 + ..... is (102)m, then m is equal to :
3 + 4 + 8 + 9 + 13 + 14 + 18 + 19 + ..... is (102)m, then m is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A20
Step-by-step explanation
3 + 4 + 8 + 9 + 13 + 14 +…….upto 40 terms
7 + 17 + 27 +…….20 terms
S = [2 × 7 + 19 × 10]
= 102 × 20 = 102 m
m = 20
7 + 17 + 27 +…….20 terms
S = [2 × 7 + 19 × 10]
= 102 × 20 = 102 m
m = 20
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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.