EXAMPLE 2 Given that geometric series with S = 4, S = 40 2 4 S 4 = 40 S 2 4 a (r 4 − ) 1 r − 1 = 10 a (r 2 − ) 1 r − 1 r 4 − 1 = 10 r 2 − 1 r + 1= 10 2 (r − 1 )(r + ) 1 = 10 2 2 2 r − 1 r = 9 r = 3 2 r = 3