Re: Maths problem
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I left out the signs because they become +1 in the end. The (-1)^n from the -4 and the (-1)^n from the -1/2 join forces to become (-1)^2n = +1.
So there really aren't any sign errors, in that the result is correct. I was just lazy with the typing. Technically the first term should be (-4)^n*(-1/2 choose n).
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No. (-1)^n (r choose n) does not equal (-r choose n). You can figure out what it does equal.
You are right that the first term should be (-4)^n*(-1/2 choose n).
You essentially got the solution I was thinking of. I was interested if there were any other approaches.
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