SOLUTION: Evaluate the infinite series (3^(2)-2^(0))/(5^(1))+(3^(3)-2^(1))/(5^(2))+...+(3^(k+1)-2^(k-1))/(5^(k))...

Algebra ->  Sequences-and-series -> SOLUTION: Evaluate the infinite series (3^(2)-2^(0))/(5^(1))+(3^(3)-2^(1))/(5^(2))+...+(3^(k+1)-2^(k-1))/(5^(k))...      Log On


   

Question 1172582: Evaluate the infinite series (3^(2)-2^(0))/(5^(1))+(3^(3)-2^(1))/(5^(2))+...+(3^(k+1)-2^(k-1))/(5^(k))...
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

Try to identify two separate infinite geometric series.

The answer is the difference of the sums of these separate series.