for the geometric series shown, state whether the series in convergent. If the series is convergent, give the sum

9 +6.3 + 4.41

3 answers

It is convergent and the sum is
9(1 + 0.7 + 0.7^2 + ...) = 9/(1-0.7)= 30
where'd the 0.7 come from?
0.7 is the ratio of successive terms. You can verify that for yourself