Question

Help please :/ Find the following infinite sum, if it exists.
(LOOK AT RESPONSE)

Answer 1

\[\sum_{n-1}^{\infty}8\left(\begin{matrix}4 \\ 3\end{matrix}\right)^{n-1}\]

Answer 2

I can rewrite it as:
\[8\sum _{n=0}^{\infty } \left(\frac{4}{3}\right)^n\]

Answer 3

4/3 is bigger than 1 thus, the sum does not converge