Manipulating Series Equations

Question:Manipulating Series Equations

Posted: Samuel Hollis 100 Product: Maple 2015

February 09 2016

How do I multiply the 4x into the summation to get $(Sum(4*n*a[n]*x^(n), n = 0 .. infinity))$ and same idea for the 3rd third?

Also, how do I go from $Sum(a[n-2]*x^(n-2), n = 2 .. infinity)$ to $Sum(a[n]*x^(n), n = 0 .. infinity)$ by manipulating the indices?

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