JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 January 2020, Shift 1, Maths Q57

Question 57 of 75 in this shift, Maths question 7 of 25, Section A.

The product

2^{\frac{1}{4}}\cdot 4^{\frac{1}{16}}\cdot 8^{\frac{1}{48}}\cdot 16^{\frac{1}{128}}\cdot\ldots

\infty

is equal to :

(1)1
(2) $2^{\frac{1}{2}}$ Official answer
(3)2
(4) $2^{\frac{1}{4}}$

Official answer

Option 2

NTA final key (Jan 2020).

Chapter: Sequences and Series
Topic: Arithmetico-Geometric Series
Idea tested: Infinite Product Reduction to AGP

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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.