Problem:
Compute the following expression: $\sum_{k=0}^9 -\frac{9}{11}\frac{1}{\sqrt{6}}^k$
Answer:
$-\frac{1555}{1584}-\frac{7 \sqrt{\frac{3}{2}}}{22}-\frac{43}{1584 \sqrt{6}}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/geometric_series/18096.txt'}