Suppose that three out of five voters support a candidate. If 1,240 voters support the candidate, how many voters participated i
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For a geometric sequence with common ratio 
, we have
that is, the
-th term in the sequence is the product of the previous term and the common ratio . So
Then the sum of the first 7 terms is
Notice that
so we can subtract this modified sum from
to get
We're told that
and 
, so the sum of the first 7 terms is
that is, the
Then the sum of the first 7 terms is
Notice that
so we can subtract this modified sum from
We're told that