(1-x) (x^2-x^3) ... (-1)^n(x^n) : Write in sigma notation

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Mathematics

Description

(1-x) + (x^2-x^3) +...+(-1)^n(x^n) : Write in sigma notation.

I have tried everything I can think of but i can't seem to get it. 

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Explanation & Answer

Answer:


S = summation from 1 to k of ( (-1)^k* x^k ) 

S = [(-x)^(n+1) - 1 ] / (-x - 1) = [ 1 - (-x)^(n+1) ] / (1 + x)


Please choose as the best. Thank you!



Anonymous
Just what I needed…Fantastic!

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