2005 Alabama ARML TST Problems/Problem 7
Problem
Find the sum of the infinite series:
![$3+\frac{11}4+\frac 94 + \cdots + \frac{n^2+2n+3}{2^n}+\cdots$](http://latex.artofproblemsolving.com/a/4/6/a4657ca66dc0a7a43979875ccca23536384ad7b0.png)
Solution
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Find the sum of the infinite series:
This problem needs a solution. If you have a solution for it, please help us out by adding it.
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