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statistics - What are differences between Geometric, Logarithmic …
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, …
terminology - Is it more accurate to use the term Geometric …
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 geometric multiplicity is bounded by algebraic multiplicity?
The geometric multiplicity the be the dimension of the eigenspace associated with the eigenvalue λi λ i. For example: [1 0 1 1] [1 1 0 1] has root 1 1 with algebraic multiplicity 2 2, but the …
Calculate expectation of a geometric random variable
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, …
Proof of geometric series formula - Mathematics Stack Exchange
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 …
What does the dot product of two vectors represent?
May 23, 2014 · 77 Geometric Meaning As other answers have pointed out, the dot product a ⋅b is related to the angle θ between a and b through: a ⋅b = ∥a ∥2∥b ∥2 cos θ Assuming that a …
How do I find the common ratio of a geometric sequence?
Apr 29, 2019 · Since the sequence is geometric with ratio r r, a2 = ra1,a3 = ra2 = r2a1, a 2 = r a 1, a 3 = r a 2 = r 2 a 1, and so on. With this fact, you can conclude a relation between a4 a 4 and …
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 …
Proof for Mean of Geometric Distribution - Mathematics Stack …
May 19, 2015 · This is an arithco-geometric series with a (first term) = p, d (common difference) = p, and r (common ratio) = (1 - p). After looking at other derivations, I get the feeling that this …
Series expansion: $\\frac{1}{(1-x)^n}$ - Mathematics Stack …
Dec 2, 2024 · What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$. Is there some general formula?