[See] Show that the series below converges and then find its value 1^2(1/3)^2+2^2(1/3)^3+3^2(1/3)^4+...
Question: Show that the series below converges and then find its value
\[{{1}^{2}}{{\left( \frac{1}{3} \right)}^{2}}+{{2}^{2}}{{\left( \frac{1}{3} \right)}^{3}}+{{3}^{2}}{{\left( \frac{1}{3} \right)}^{4}}+\ldots +{{n}^{2}}{{\left( \frac{1}{3} \right)}^{n+1}}+\ldots \]
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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document 