JEE Main 30 July 2022, Shift 2, Maths Q68

Question 68 of 90 in this shift, Maths question 8 of 30, Section A.

2\sum_{n=2}^{\infty} \frac{n(2n^2+3)}{(n+1)!}

is equal to

(1)2 (e + 7)
(2)2e + 1
(3)2e + 9Official answer
(4)2 (e + 1)

Official answer

Option 3

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.