
When is a Power Series a Geometric Series?
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 …
algebra precalculus - Is the geometric mean of two numbers always ...
Nov 10, 2024 · It says that the geometric mean b b of two numbers a a and c c is defined by b2 = ac. b 2 = a c But is the geometric mean of two numbers always positive, or can it be negative?
statistics - What are differences between Geometric, Logarithmic and ...
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, …
Proof of geometric series formula - Mathematics Stack Exchange
Sep 20, 2021 · Proof of geometric series formula Ask Question Asked 4 years, 3 months ago Modified 4 years, 3 months ago
terminology - Is it more accurate to use the term Geometric Growth or ...
For example, there is a Geometric Progression but no Exponential Progression article on Wikipedia, so perhaps the term Geometric is a bit more accurate, mathematically speaking? Why are there two …
Expectation of the square of a geometric random variable
Let X X be a geometric random variable with success parameter p p. I am wondering how I could calculate E[(X2)] E [(X 2)], that is the expectation of the square of a geometric random variable.
Rate of growth of a geometric sequence - Mathematics Stack Exchange
Aug 24, 2014 · Since the geometric series, or their partner the continuous exponential have varying rates of change, it is nice to find something consistant within them we can call a constant rate. The …
linear algebra - How do you calculate the geometric multiplicities ...
Dec 11, 2014 · How do you calculate the geometric multiplicities? Ask Question Asked 11 years, 1 month ago Modified 2 months ago
How to Recognize a Geometric Series - Mathematics Stack Exchange
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.
What is the difference between arithmetic and geometrical series?
Nov 26, 2014 · Geometric and arithmetic are two names that are given to different sequences that follow a rather strict pattern for how one term follows from the one before. An arithmetic sequence is …