Let (t\_n=\frac{1}{n}\displaystyle\sum^{n}\_{k=1}\left(\frac... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

Let $t_n=\frac{1}{n}\displaystyle\sum^{n}_{k=1}\left(\frac{k}{n} \right)^2$ for n=1,2,3…. Then t10 is equal to

A

$\frac{7}{600}$

B

$\frac{231}{100}$

C

$\frac{209}{600}$

D

$\frac{11}{200}$

E

$\frac{77}{200}$

Answer

$\frac{231}{100}$

Explanation

Solution

The correct option is (B) : $\frac{231}{100}$