Solve this: Write down the series 1-x-x²-x³+ ... in sigma notation

Question:Solve this: Write down the series 1-x-x²-x³+ ... in sigma notation

Posted: Henry James 5 Product: Maple

December 29 2023

A general term for this series is+-x^r, having a positive sign when r is even and a negative sign when r is odd.

Now because (-1) is positive when r is even and negative when r is odd, the general term can be written as (-1)^rx^r

Hence;

1-x+x²-x³+...=£^o_r=0(-1)^r(x)^r

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