Aug 3, 2020 · Now lets do it using the geometric method that is repeated multiplication, in this case we start with x goes from 0 to 5 and our sequence goes like this: 1, 2, 2•2=4, 2•2•2=8, 2•2•2•2=16, …

Sep 20, 2021 · So for, the above formula, how did they get (n + 1) (n + 1) a for the geometric progression when r = 1 r = 1. I also am confused where the negative a comes from in the following …

Nov 18, 2022 · The people who are saying that here r r can't be negative, they are giving the logic that as here a a is positive, r r has no chance to be negative. But we have seen a lot of geometric series …

3 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, an extremely …

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 1, 2025 · Why are there two formulas for the sum of a geometric series and which one do I use? Ask Question Asked 10 years, 9 months ago Modified 4 months ago

May 26, 2015 · I'm not familiar with the equation input method, so I handwrite the proof. I'm using the variant of geometric distribution the same as @ndrizza. Therefore E [X]=1/p in this case. handwritten …

May 23, 2014 · 21 It might help to think of multiplication of real numbers in a more geometric fashion. 2 2 times 3 3 is the length of the interval you get starting with an interval of length 3 3 and then stretching …

The geometric distribution describes the probability of "x trials are made before a success", and the negative binomial distribution describes that of "x trials are made before r r successes are obtained", …

Jul 2, 2019 · Probabilities of random geometric objects having certain properties (enclosing the origin, having an acute angle,...); expected counts, areas, ... of random geometric objects. For questions …