Write the following in summation notation

Question

0

1405

3

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

Guest Jan 13, 2015

+26397

+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

heureka · Answer 1 · 2015-01-13T07:30:25

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

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

Melody · Answer 2 · 2015-01-13T04:35:16

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

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Melody · Answer 3 · 2015-01-13T08:02:44

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