If $S_n = 4 + 11 + 21 + 34 + 50 + \ldots$ to $n$ terms, then $\frac{1}{60}(S_{29} - S_9)$ is equal to

JEE Main 2023 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 10 April 2023, Shift 2, Maths Q8

Question 8 of 90 in this shift, Maths question 8 of 30, Section A.

S_n = 4 + 11 + 21 + 34 + 50 + \ldots

n

terms, then

\frac{1}{60}(S_{29} - S_9)

is equal to

(1) $220$
(2) $223$ Official answer
(3) $226$
(4) $227$

Official answer

Option 2

NTA final key.

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: Method of Differences for Telescoping Series

Same idea in other shifts

Asked 19× in all

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.