Question

Please help me. I am so stuck.​

Answer 1

Answer:

Converges to -25.

Step-by-step explanation:

$\sum_{k=1}^{\infty} -5 \cdot (\frac{4}{5})^{k-1}$ converges since $r=\frac{4}{5}$.

The sum is given by $\frac{a_1}{1-r}$ where $a_1$ is -5.

$\frac{-5}{1-\frac{4}{5}}=\frac{-5}{\frac{1}{5}}=-5(5)=-25$.