just add the two series separately, since addition is associative
(4/25)/(1 - 1/5) = 1/5
(7/2)/(1 - 1/2) = 7
So the sum is 36/5
Find the value of (4/25 + 7/2) + (4/125 + 7/4) + (4/625 + 7/8) + ..... ( 4/5^n+1 + 7/2^n) +.... (10 points)
A) 36/5
B) 1/5
C) 2/15
D) the value of the series is not a finite number
1 answer