How to calculate infinite series?

  • #1
Hi, I'm stuck on a problem because I don't know how to calculate this series:
Ʃ(2^n * x^n), n starts from 0 to infinity. How can I calculate this? Do I have to transform it into something else where I know the outcome of the Σ like we do with the geometric functions?
 

Answers and Replies

  • #2
798
34
Hi, I'm stuck on a problem because I don't know how to calculate this series:
Ʃ(2^n * x^n), n starts from 0 to infinity. How can I calculate this? Do I have to transform it into something else where I know the outcome of the Σ like we do with the geometric functions?

Let X=2x
Ʃ(X^n) is the classical geometric series.
 
  • #3
Thanks, didn't think of doing this.
 
  • #4
56
1
Be advised that |X| < 1 to treat this as a geometric series.
 

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