Sum of fraction series

Asked Dec 08 '18 at 14:16

Active Dec 08 '18 at 14:53

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I have been trying to solve this question but I am not sure how to, and would appreciate some help. Thanks.

Simplify: $$\frac{1}{4} +\frac{1}{4^2} +\frac{4^2}{4^3} +\frac{4^2}{4^4} +\frac{4^4}{4^5} +\frac{4^4}{4^6} +\ldots +\frac{4^{102}}{4^{103}} +\frac{4^{102}}{4^{104}}.$$

edited Dec 08 '18 at 14:19

Rócherz

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asked Dec 08 '18 at 14:16

Unknown

Jimmy: what are the first two terms, and the next two and so on? Can you sum a geometric series? – J.G. Dec 08 '18 at 14:21
4

You're just repeatedly adding $\frac{1}{4}$ and $\frac{1}{16}$... – KM101 Dec 08 '18 at 14:23

Sum of fraction series

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