Question

converge or diverge
{sum_{1}^{infty} 5^{-3} pi ^{k}}

Answer 1

Looks much better.
\[ {\sum_{k=1}^{\infty} 5^{-3} \pi ^{k}}\]
Clearly it diverges since it series from geometric progression of common ratio \(\pi\)

Answer 2

okay thanks. just making sure

Answer 3

you are welcome.