Problem:
Compute the following expression: $\sum_{k=0}^\infty -\frac{28}{27}\frac{1}{\sqrt{2}}^k$
Answer:
$-\frac{28}{27} \left(2+\sqrt{2}\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/geometric_series/11956.txt'}