JEE Main 2023 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 11 April 2023, Shift 1, Maths Q25

Question 25 of 90 in this shift, Maths question 25 of 30, Section B.

Let

S = 109 + \frac{108}{5} + \frac{107}{5^2} + \ldots + \frac{2}{5^{107}} + \frac{1}{5^{108}}

. Then the value of

(16S - (25)^{-54})

is equal to ___________.

Official answer

2175

NTA final key.

Chapter: Sequences and Series
Topic: Arithmetico-Geometric Series
Idea tested: Sum of Finite AGP

Same topic in other shifts

All Arithmetico-Geometric Series questions

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13 Apr 2023, Shift 2 · Q25Let $f(x)=\sum_{k=1}^{10}k\,x^k$ , $x\in\mathbb{R}$ . If $2f(2)+f'(2)=119(2)^n+1$ then $n$ is equal to ______HardNumerical value
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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 42 of the 174 JEE Main shifts held from 2017 to 2026.