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I'm in a class called Fixed-Income Mathematics (bond math, interest rates, etc).
One question asks to find the compact expression of the sum.
examples: (These are all in sigma notation, n=0 to N)
n^3 x^n
n(n+2)x^n
My question is, what is compact expression form?
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And
Now let
Using the same trick as before, we get
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So the answer to your second question is
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For your first question, if you let
you get
And this time I will leave you to complete the job yourself.
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