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Find $r$ in a geometric progression

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#sequences-and-series #geometric-series
82
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Closed form geometric series for complex numbers

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#sequences-and-series #complex-numbers #geometric-series
80
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Does the following hold for every $i\in \mathbb{N} $ : $\sum_{k=0}^{i} a^{k}=\frac{a^{i+1}-1}{a-1}$

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#real-analysis #sequences-and-series #geometric-series
153
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Calculate $\sum_{n=0}^\infty n ( \frac{4}{5})^{n+1}$

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#sequences-and-series #geometric-series
105
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Geometric sum to calculate matrix inverses

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#matrices #inverse #geometric-series
48
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Find smooth version of $g(x) = \sum_{i=0}^x a^x$

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#discrete-mathematics #summation #geometric-series #smooth-functions #analytic-continuation
123
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How do I separate imaginary and real terms of Cartesian Coordinates of finite complex geometric sum?

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#complex-numbers #summation #vectors #binomial-theorem #geometric-series
215
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Minimizing a generalized partial sum of a geometric progression

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#sequences-and-series #asymptotics #geometric-series #experimental-mathematics
24
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Manipulation of inferior and superior limits of a summation

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#summation #geometric-series
119
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sequences and series problem - returns on investment

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#sequences-and-series #arithmetic-progressions #geometric-series
128
Views

Taylor series for $\frac{1}{(1-x)^{n}}$

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#power-series #taylor-expansion #geometric-series #spherical-harmonics
115
Views

Polynomial inequality: show $p(x) = \sum_{n=0}^{2k} x^n - \frac{1}{2k+1} \sum_{n=0}^{2k} (-x)^n\ge 0$

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#inequality #polynomials #optimization #geometric-series
83
Views

Summation problem.

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#calculus #summation #geometric-series
83
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Finding the sum of geometric progression

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#summation #geometric-series #summation-method
62
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Evaluating $\sum_{n=1}^\infty\frac{1}{2^{2n-1}}$

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#summation #geometric-series

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