JEE Main Maths · Binomial Theorem

Second Derivative Method for Sums

Second Derivative Method for Sums (Binomial Theorem) was asked 2 times in 2 JEE Main shifts, 2024–2025, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked: 2; in 2 shifts
Years: 2024–2025
Usual format: Numerical value; Calculation
Pattern: New since 2024; repeats across shifts

How it is asked

Evaluate sum of r^2 times binomial coefficients
N from binomial sum inequality

Difficulty

Easy 0Medium 1Hard 1

Where it sits

Chapter: Binomial Theorem. Topic: Binomial Coefficients, 26 questions over 18 ideas.

All 2 questions

Newest first, each with its options and official answer.

4 Apr 2025, Shift 2 · Q7If $1^2\cdot({}^{15}C_1)+2^2\cdot({}^{15}C_2)+3^2\cdot({}^{15}C_3)+\ldots+15^2\cdot({}^{15}C_{15})=2^m\cdot3^n\cdot5^k$ , where…MediumSingle correct
8 Apr 2024, Shift 1 · Q24Let $\alpha=\sum_{r=0}^{n}(4r^2+2r+1)\,{}^nC_r$ and $\beta=\left(\sum_{r=0}^{n}\frac{{}^nC_r}{r+1}\right)+\frac{1}{n+1}$ . If…HardNumerical value