JEE Main 2020 — Sequences And Series Question with Solution
From: JEE Main 2020 (Online) 3rd September Morning Slot
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 :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
First 25 terms = a, a + d, .......,a + 24d
Next 15 terms = a + 25d, a + 26d, ......, a + 39d
50a + 600d = 15 [2a + 50d + 14d]
20a + 600d = 960d
60 = 360d
d =
Next 15 terms = a + 25d, a + 26d, ......, a + 39d
50a + 600d = 15 [2a + 50d + 14d]
20a + 600d = 960d
60 = 360d
d =
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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.