http://www-users.math.umd.edu/~wojte...d_3_sample.pdf

It's #2.

Note: This is only a sample exam.

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- Nov 21st 2010, 09:43 PMkgarcia3Finding the Sum of an Infinite Series
http://www-users.math.umd.edu/~wojte...d_3_sample.pdf

It's #2.

Note: This is only a sample exam. - Nov 21st 2010, 10:15 PMFernandoRevilla
We have:

$\displaystyle \displaystyle\sum_{k=1}^{\infty}\dfrac{(-1)^k4^{k-1}}{3^{2k}}}=\dfrac{1}{4}\displaystyle\sum_{k=1}^{ \infty}\left(\frac{-4}{9}\right)^k=\ldots$

Now, use a well known theorem about geometric series.

Regards.

Fernando Revilla - Nov 21st 2010, 10:25 PMkgarcia3
@Fernando: Thanks! I'm not the best at manipulating series :P

- Nov 21st 2010, 10:30 PMFernandoRevilla
Neither do I. (Rofl)

Regards.

Fernando Revilla