Question #f239c

1 Answer
Sep 21, 2017

0.878787...=> 87/100 + 87/10000 + 87/1000000 +...

Hence, 1st term a = 87/100 and common ratio r = 1/100

Now, S_oo = a/(1 - r)

i.e. a/(1 - 1/100) = (100a)/99

So, with a = 87/100 we have:

(100/99)(87/100) = 87/99

or, 29/33

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