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??