Sum of the series Σ(3n+2)/n

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Michael_0039
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Homework Statement
Find the sum of the series Σ((3n+2)/n!)
Relevant Equations
nil
Hi,
this is my try:
XMyAop0.jpg
Thanks.
 
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Looks good. You could have added a first step: ##\displaystyle \sum_{i=0}^\infty \frac{3n}{n!} = \sum_{i=1}^\infty \frac{3n}{n!}## as 3*0=0.

(formula written with LaTeX)
 
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