JEE Main 2020MathematicsSequences And SeriesArithmetic ProgressionmediumMCQ

JEE Main 2020Sequences And Series Question with Solution

From: JEE Main 2020 (Online) 8th January Evening Slot

Question

If the 10th term of an A.P. is and its 20th term is , then the sum of its first 200 terms is

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

T10 = a + 9d = ....(1)

T20 = a + 19d = .....(2)

Equation (2) – (1)

10d = -

d =

a + =

a =

S200 =

=

= =

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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.