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Formula for Summing up a Geometric Series with alternate addition and subtraction

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#sequences-and-series #summation #geometric-progressions
241
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Visualizing and understanding $\sqrt{2\sqrt2-1}$

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#geometry #radicals #nested-radicals #geometric-progressions
102
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Number sequence as geometric sequence

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#sequences-and-series #geometric-progressions
279
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How can I find the first term of this geometric progression?

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#geometric-progressions
9.5k
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Can a arithmetic progression have a common difference of zero & a geometric progression have common ratio one?

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#sequences-and-series #terminology #definition #arithmetic-progressions #geometric-progressions
309
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Intuition for the GP formula.

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#sequences-and-series #intuition #geometric-progressions
73
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Is this a Arithmetic or Geometric series?

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#sequences-and-series #contest-math #arithmetic-progressions #geometric-progressions
199
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Find the terms of a geometric progression given two partial sums.

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#sequences-and-series #algebra-precalculus #summation #geometric-progressions
158
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Coefficient to create a series whose sum is a given one

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#geometric-progressions
136
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Induction proof I'm having trouble with: $1+x+x^2+x^3+...+x^n = \frac{1-x^{n+1}}{1-x}$

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#algebra-precalculus #summation #induction #geometric-progressions
52
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Geometrical progression from 1 to $\sqrt5$ to 3 by arithmetics

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#geometry #irrational-numbers #geometric-progressions
63
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Elementary product formula

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#sequences-and-series #algebra-precalculus #complex-numbers #recreational-mathematics #geometric-progressions
1.1k
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Sequence of sequences

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#sequences-and-series #arithmetic-progressions #geometric-progressions
84
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Sum of geometric progression of $(1+x)^{m+n}$

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#sequences-and-series #algebra-precalculus #geometric-progressions
194
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How to prove this infinite product identity?

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#calculus #sequences-and-series #infinite-product #arithmetic-progressions #geometric-progressions

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