Problem:
Compute the following expression: $\sum_{k=0}^10 \frac{57}{80}\frac{1}{\sqrt{6}}^k$
Answer:
$\frac{177289}{207360}+\frac{19 \sqrt{\frac{3}{2}}}{80}+\frac{4921}{34560 \sqrt{6}}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/geometric_series/25060.txt'}