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15
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Counting "mulstisets" on a given sequence.

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#sequences-and-series #combinatorics #multisets
696
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What's the limit of the series $\log_2(1-x)+x+x^2+x^4+x^8+\cdots$.

Published on
#calculus #sequences-and-series #limits
135
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Prove the equality $\sum_{n=0}^\infty\frac{(-1)^n}{a+nb}=\int_{0}^1\frac {t^{a-1}}{1+t^p}dt$

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#calculus #sequences-and-series #definite-integrals
152
Views

Solve: $2^x\Bigl(2^x-1\Bigl) + 2^{x-1}\Bigl(2^{x-1} -1 \Bigl) + .... + 2^{x-99}\Bigl(2^{x-99} - 1\Bigl) = 0$

Published on
#sequences-and-series #algebra-precalculus #logarithms
557
Views

Probability of choosing the second best candidate in the secretary problem

Published on
#calculus #probability #sequences-and-series #limits #game-theory
78
Views

Figuring out zeros and divergence of a double series

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#sequences-and-series #summation
70
Views

Writing the limit of a series inside the series

Published on
#real-analysis #sequences-and-series #analysis #limits
60
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Prove for a triangle whose side are in AP

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#sequences-and-series #triangles #arithmetic-progressions
1.3k
Views

The sides of a triangle are in Arithmetic progression

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#sequences-and-series #geometry #trigonometry #triangles #arithmetic-progressions
526
Views

Evaluating $\sum_{n=1}^{\infty}\frac{n}{16^n}$

Published on
#calculus #sequences-and-series
2.7k
Views

Help summing the telescoping series $\sum_{n=2}^{\infty}\frac{1}{n^3-n}$.

Published on
#calculus #sequences-and-series #telescopic-series
50
Views

Study extremes of convergence ratio of a sum

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#sequences-and-series #convergence-divergence
83
Views

$\sum_{n=1}^{\infty}b_n$ diverges whenever $\sum_{n=1}^{\infty}2^nb_{2^n}$ diverges

Published on
#real-analysis #sequences-and-series #proof-verification
79
Views

How can one evaluate the following series:

Published on
#sequences-and-series #euler-mascheroni-constant
63
Views

Find sum of series where $U_k = 3 U_{k-1}+1$.

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#sequences-and-series

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