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Revision history of "2006 SMT/Algebra Problems/Problem 10"

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  • (cur | prev) 09:35, 28 May 2012‎ Admin25 (talk | contribs)‎ . . (703 bytes) (+703)‎ . . (Created page with "==Problem== Evaluate: <math> \sum_{k=1}^{\infty}\frac{k}{a^{k-1}} </math> for all <math> |a|<1 </math>. ==Solution== Let <math> S=\sum_{k=1}^{\infty}\frac{k}{a^{k-1}}=\frac{1}{a...")
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