Apr 1, 2016 · The definition of a geometric series is a series where the ratio of consecutive terms is constant. It doesn't matter how it's indexed or what the first term is or whether you have a constant.

Sep 20, 2021 · Proof of geometric series formula Ask Question Asked 4 years, 3 months ago Modified 4 years, 3 months ago

So surely you see the answer now, but I'll state it for the record: a power series is a geometric series if its coefficients are constant (i.e. all the same). In particular, not all power series are geometric. For …

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.

Dec 13, 2013 · 2 A clever solution to find the expected value of a geometric r.v. is those employed in this video lecture of the MITx course "Introduction to Probability: Part 1 - The Fundamentals" (by the way, …

Apr 9, 2018 · 1 I was just wondering if the geometric series test for series of the form $\sum_ {n=}^ {\infty}ar^ {n}$ needs the index to start at $0$ or $1$? From my understanding of the proof using …

Jul 7, 2022 · 4 The formula for the sum of a (convergent) infinite geometric series is $$\frac {\text {FirstTerm}} {1-\text {CommonRatio}}$$ where FirstTerm is the first term of the series and …

Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 8 months ago Modified 4 years, 11 months ago

Dec 16, 2013 · The sum of the first two terms of a geometric series is 4. The sum of the first four terms of the same series is 40. Determine the first five terms of the series. I am having trouble finding the r

Aug 17, 2015 · 0 I remember this by something a friend told me once. The sum of an infinite geometric series is the first term over one minus the common ratio. It is easier to remember without a formula I …