The value of (\displaystyle\sum\_{k=5}^{36}\frac{1}{k^2-k})... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The value of $\displaystyle\sum_{k=5}^{36}\frac{1}{k^2-k}$ is equal to

A

$\frac{7}{36}$

B

$\frac{1}{9}$

C

$\frac{2}{9}$

D

$\frac{1}{12}$

E

$\frac{5}{36}$

Answer

$\frac{2}{9}$

Explanation

Solution

The correct option is (C): $\frac{2}{9}$