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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 17 March 2021, Shift 1, Maths Q67

Question 67 of 90 in this shift, Maths question 7 of 30, Section A.

The value of

4+\cfrac{1}{5+\cfrac{1}{4+\cfrac{1}{5+\cfrac{1}{4+.....\infty}}}}

is :

(1) $2+\frac{2}{5}\sqrt{30}$ Official answer
(2) $2+\frac{4}{\sqrt{5}}\sqrt{30}$
(3) $5+\frac{2}{5}\sqrt{30}$
(4) $4+\frac{4}{\sqrt{5}}\sqrt{30}$

Official answer

Option 1

NTA final key.

Chapter: Sequences and Series
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.