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Numerade Educator

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Problem 75 Medium Difficulty

Find the sum of the series.

$ \sum_{n = 1}^{\infty} (-1)^{n-1} \frac {3^n}{n 5^n} $

Answer

$\ln (8)-\ln (5)$

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Video Transcript

There's some of the serious, and this is equal to and from one stupidity that you want to call the manager one and three fifty Tio talked in Over in and to recall the nurseries of volume want US X, which is equal to exponents out of X plus have us cubed plus a third of one third times X cube and the minus X two, four, four and so on. And we fund this is just long. In one place, three or five, so becomes two lawn eight over long five.