(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

the repeating decimal . 27272727 . . . can be written as an infinite series. Write it as a series and tell if it diverges/converges. If it converges, find the sum.

Mickey, also a former student, knows how to do this one. Mickey knows enough math to write it as .27 + .0027 + .000027 . . .

It's now an infinite series. Mickey spots the common ratio of the series as .0027/.27 = .01. Therefore, it converges!! He use the formula and presto:

S = .27/(1 - .01) = .27/.99 = 27/99 = 3/11

(remarkable achievement considering he's a mouse!)

3. The attempt at a solution

why did mickey wrote .0027 after .27?? why not .027??

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# Homework Help: Infinite series (damn mickey mouse)

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