If n ≥ 2, find the sum of a binomial series...

JEE MAIN 2021

24-02-2021 S2

Question

If $n \geq 2$ is a positive integer, then the sum of the series ${ }^{n+1} \mathrm{C}_2+2\left({ }^2 \mathrm{C}_2+{ }^3 \mathrm{C}_2+{ }^4 \mathrm{C}_2+\ldots \ldots+{ }^n \mathrm{C}_2\right)$ is :

Select the correct option:

$\frac{n(n-1)(2 n+1)}{6}$

$\frac{n(n+1)(2 n+1)}{6}$

$\frac{n(2 n+1)(3 n+1)}{6}$

$\frac{n(n+1)^2(n+2)}{12}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

Start Preparing for JEE with Competishun

Report Issue