Find the indicated sum for each sequence. S9 of - 9, 36, - 144, 576, ...

This is a geometric sequence with a common ratio of - 4:

-9*-4=36

36*-4=-144

-144*-4=576

Thus, the 9th term would be equal to:

(-4) ^5*576 which is - 589824

The exponent 5 comes from the fact that 4 terms have already been displayed and we need 9-4 more terms to get to the 9th term. Since we are multiplying by - 4 only, the 5 remains an exponent