What is the sum of the first 8 terms of the geometric series?
120-80+160/3-320/9+...
Express your answer as a simplified fraction.
The common ratio for this series is -2/3 ---> r = -2/3
The first term is 120 ---> a = 120
There are 8 terms ---> n = 8
The formula is ---> Sum = a · [ (1 - rn) / (1 - r) ]
Sum = 120 · [ ( 1 - (-2/3)8 ) / ( 1 - (-2/3) ) ]
Now, it's calculator time!