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x+x^2+x^3+...x^n

 Aug 11, 2017
 #1
avatar+27365 
0

x+x^2+x^3+...x^n  →  x(x^n - 1)/(x - 1)

.

 Aug 11, 2017
 #2
avatar
0

CPhill: What is the difference between this sequence and the question?

 

∑[x^(n), n, 1, 10] = x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10.........etc.

 Aug 11, 2017
 #3
avatar+7076 
+1

this equals x/(1-x) for all -1

 Aug 12, 2017
 #4
avatar+27365 
+2

I think you meant to put the condition -1 < x < 1 Max; but notice your statement is only true if n is infinite.

 

.

Alan  Aug 12, 2017
edited by Alan  Aug 12, 2017
 #5
avatar+7076 
+1

Yes...

I have been less careful these days...

MaxWong  Aug 12, 2017

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