I noticed that the decimal you gave 9.765625 when multiplied by 10-4
is indeed an approximation of one of the terms of the series, so maybe you left
off the " x 10-4 ".  I'll assume your problem was supposed to be:  

Find the sum of this series:



using the formula 

We know this is a geometric series with 


But first we must find n, the number of terms, using the formula for the
nth term:







We solve for n by taking the log base 10 of both sides











We round that to 10



So there are n=10 terms in the series:

Using the formula:







 <---ANSWER

So you can see that the sum of the series to 10 terms is 
getting close to 1.

Edwin