Jee Main
Binomial Theorem
JEE Main 2026 (Online) 28th January Evening Shift
MCQ+4 / -12026
The sum of the coefficients of $x^{499}$ and $x^{500}$ in $(1 + x)^{1000} + x(1 + x)^{999} + x^2(1 + x)^{998} + \ldots + x^{1000}$ is :
Jee Main
JEE Main 2026 (Online) 28th January Evening Shift
The sum of the coefficients of $x^{499}$ and $x^{500}$ in $(1 + x)^{1000} + x(1 + x)^{999} + x^2(1 + x)^{998} + \ldots + x^{1000}$ is :