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  2. 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, …

  3. 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? …

  4. why geometric multiplicity is bounded by algebraic multiplicity?

    The geometric multiplicity is the number of linearly independent vectors, and each vector is the solution to one algebraic eigenvector equation, so there must be at least as much algebraic …

  5. 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, …

  6. 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 …

  7. What does the dot product of two vectors represent?

    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 …

  8. 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 …

  9. Sum of a power series $n x^n$ - Mathematics Stack Exchange

    I would like to know: How come that $$\\sum_{n=1}^\\infty n x^n=\\frac{x}{(x-1)^2}$$ Why isn't it infinity?

  10. expectation - Proof for Mean of Geometric Distribution

    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 …

  11. 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?