
What is the general formula for a convergent infinite geometric series?
Nov 7, 2016 · I'm looking for the general formula of a convergent infinite geometric series. I want to be able to calculate any convergent infinite geometric series I come across, regardless of where it starts at.
Alternative proofs of convergence of geometric series
Jul 2, 2021 · Using one of the comparison tests requires another (presumably more intuitive) series to work with, and they don't get much more intuitive than geometric series by the given argument.
Conditions for convergence of a geometric series [duplicate]
This question concerns the infinite geometric series formula. It turns out there is a nice formula for the sum of an infinite geometric series. Consider the infinite geometric series $1+r+r^2+r^3+\\
Convergence of a geometric sequence - Mathematics Stack Exchange
Dec 3, 2016 · I am not sure if there is such thing as testing for convergence a geometric sequence, but I have a problem in my book that asks to test for the convergence or divergence of a sequence: …
Uniform convergence of geometric series - Mathematics Stack Exchange
Uniform convergence of geometric series Ask Question Asked 13 years, 5 months ago Modified 13 years, 5 months ago
Convergence of geometric series with |r|>1
Jun 28, 2018 · Convergence of geometric series with |r|>1 Ask Question Asked 7 years, 8 months ago Modified 7 years, 8 months ago
convergence divergence - Restrictions for the geometric series formula ...
Sep 14, 2020 · I was curious about how the restrictions for the geometric series formula arise from its proof, namely that $|r|<1$. Here is the traditional proof (for the partial sum of a geometric series) tha...
Proving convergence of geometric series by induction
Jul 19, 2018 · Proving convergence of geometric series by induction Ask Question Asked 7 years, 7 months ago Modified 7 years, 7 months ago
Geometric series convergence in the p-adic numbers
May 28, 2017 · Geometric series convergence in the p-adic numbers Ask Question Asked 8 years, 9 months ago Modified 8 years, 9 months ago
Formula for Alternating Geometric Series - Mathematics Stack Exchange
Jul 3, 2014 · Formula for Alternating Geometric Series Ask Question Asked 11 years, 8 months ago Modified 7 years, 7 months ago