Question

Determine if the series converges or diverges: Sum[1/n^2-2n], n=3 to inf. My teacher told me it is telescoping, but im not seeing it.

Answer 1

you wont see the telescope until you write is as partial fractions

Answer 2

\[\frac{1}{n(n-2)}=\frac{1}{2(n-2)}-\frac{1}{2n}\]

Answer 3

now it telescopes right?

Answer 4

*Sigh* Yes, thanks

Answer 5

yw