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1/3 - 2/9 + 3/27 - 4/81 + 5/243

Guest Jan 13, 2015

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 #2
avatar+19207 
+10

1/3 - 2/9 + 3/27 - 4/81 + 5/243

$$\frac{1}{3} - \frac{2}{9} + \frac{3}{27} - \frac{4}{81} + \frac{5}{243} = \sum \limits_{n=1}^{5}(-n)(-3)^{(-n)}$$

heureka  Jan 13, 2015
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 #1
avatar+92198 
+10

$$\displaystyle\sum_{n=1}^{5}\;\; \frac{(-1)^{n+1}\;n}{3^n}$$

Melody  Jan 13, 2015
 #2
avatar+19207 
+10
Best Answer

1/3 - 2/9 + 3/27 - 4/81 + 5/243

$$\frac{1}{3} - \frac{2}{9} + \frac{3}{27} - \frac{4}{81} + \frac{5}{243} = \sum \limits_{n=1}^{5}(-n)(-3)^{(-n)}$$

heureka  Jan 13, 2015
 #3
avatar+92198 
0

Yes, there is more than one way to skin a cat. Thanks Heureka

Melody  Jan 13, 2015

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