Telescoping Series: Partial Fractions Example

Rarely Tested

For $$\sum_{k=1}^{n} \frac{1}{k(k+1)}$$:
$$ \frac{1}{k(k+1)} = \frac{1}{k} - \frac{1}{k+1} $$
Sum: $$ 1 - \frac{1}{n+1} = \frac{n}{n+1} $$
No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.