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Why is the sum to infinity of a geometric distribution equal to 1?

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#probability-distributions #geometric-progressions
155
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What is the relationship between A and B?

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#algebra-precalculus #inequality #geometric-progressions
142
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One root common to $ax^2+2bx+c=0$ and $dx^2+2ex+f=0$

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#sequences-and-series #quadratics #arithmetic-progressions #geometric-progressions
1.4k
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$(ab+bc+ca)^3=abc(a+b+c)^3$, prove that $a,b,c$ are in $G.P.$

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#symmetric-polynomials #geometric-progressions
59
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Remainder for a GP

Published on
#calculus #sequences-and-series #geometric-progressions
19
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Determining the position of a random non-natural positive rational number in a geometric progression

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#geometric-progressions
37
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GP and combinations divisibility

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#calculus #sequences-and-series #combinations #arithmetic-progressions #geometric-progressions
95
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Polynomial with geometric progression

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#sequences-and-series #polynomials #geometric-progressions
40
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A progression question with elements of geometry...

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#geometry #area #geometric-progressions
116
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Problem with a Arithmetico-Geometric Series

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#sequences-and-series #power-series #arithmetic-progressions #geometric-progressions #formal-power-series
223
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Can I write e(mathematical constant) in fraction?

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#solution-verification #natural-numbers #geometric-progressions #constants
213
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The $2$nd, the $1$st and the $3$rd term of an arithmetic progression form a geometric progression

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#sequences-and-series #arithmetic-progressions #geometric-progressions
110
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I have decided to study math on my own and I came across these questions. Would really appreciate if anyone could help and explain how to solve these.

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#sequences-and-series #self-learning #arithmetic-progressions #geometric-progressions
76
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Given sum of infinite G.P, find the common ratio.

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#sequences-and-series #geometric-progressions
52
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Can the values of the expressions $\frac{1}{\sqrt{2a+1}},\frac{1}{\sqrt{2a-1}},3(a^2-19)\sqrt{2a-1},18\sqrt{2a+1}$ be in G.P.?

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#sequences-and-series #geometric-progressions

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