Question

Question #f239c

Answer 1

`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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