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2006 SMT/Algebra Problems/Problem 10: Revision history

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28 May 2012

  • curprev 09:3509:35, 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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