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15
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Calculating $\sum_{k=1}^nk(k!)$ combinatorially

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#combinatorics #summation #factorial #combinatorial-proofs
100
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Very challenging series

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#reference-request #summation
141
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What is the sum of $\sum_{n=1}^\infty (n^2+n^3)x^{n-1}$?

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#summation
70
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Finding roots for nested summations

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#summation
240
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Pictorial derivation of sum of cubes

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#summation
86
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An equality from Representation Theory

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#sequences-and-series #combinatorics #finite-groups #summation
1.3k
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Summation of series $\sum_{k=0}^\infty 2^k/\binom{2k+1}{k}$

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#sequences-and-series #summation #combinations
476
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Sum of the first $n$ numbers that is neither divisible by 2 nor 3.

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#summation #induction
265
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Using an identity to simplify the sum

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#algebra-precalculus #summation #logarithms
82
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Calculus add formula to derive new formula

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#calculus #summation
182
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Proving $\lim_{n \rightarrow \infty} \frac{\sum_{r=1}^{n} r^a}{n^{a+1}}=\frac{1}{a+1}$

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#limits #summation
423
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Prove a sum formula by induction

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#polynomials #summation #induction
1k
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what is $2\cdot 4\cdot 6\cdot 8 \cdot \ldots \cdot (2k+2)$?

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#summation
64
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Transformation of a sum

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#summation #binomial-coefficients #binomial-theorem
405
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Proving that $\sum_{i = 0}^{m}{\binom{k+i}{k} \binom{n-i}{n-m}} = \binom{n+k+1}{m}$

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#summation #binomial-coefficients #combinatorial-proofs

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