Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 13"

Revision as of 06:54, 2 April 2007

$13.$ Let $S$ denote the value of the sum

$\left(\frac{2}{3}\right)^{2005} \cdot \sum_{k=1}^{2005} \frac{k^2}{2^k} \cdot {2005 \choose k}$

Determine the remainder obtained when $S$ is divided by $1000$ .

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Revision as of 06:53, 2 April 2007 (view source) Solafidefarms (talk \| contribs) m (soln?) ← Older edit		Revision as of 06:54, 2 April 2007 (view source) Solafidefarms (talk \| contribs) m (fix) Newer edit →
Line 7:		Line 7:

	==Solution==		==Solution==
−	{solution}	+	{{solution}}