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Double summation with complex exponential

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#calculus #summation
1k
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Moving terms outside of summation

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#summation
78
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Is $\frac{1}{2}(3n-2)(n-1)$ divisible by n, n+1, ..., 2n-1 if n is odd.

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#sequences-and-series #number-theory #summation #divisibility
116
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Show that $\sum_{n=1}^\infty\frac{n}{(2n+1)!!}={1\over2}$

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#calculus #sequences-and-series #summation #telescopic-series
96
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How to solve inequality summation of n-elements in m-subsets

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#analysis #discrete-mathematics #elementary-set-theory #inequality #summation
51
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Change of indices question.

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#real-analysis #calculus #sequences-and-series #summation
69
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How does one use induction to prove that $\displaystyle\sum\limits_{k=1}^{n}k2^{n-k+1} = 2^{n+2}-2(n+2)$

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#discrete-mathematics #summation #induction
62
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Solution to infinite sum

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#sequences-and-series #summation #infinity
41
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How to solve this sum of fractions in terms of $k$?

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#summation
228
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Stuck in this sum using the Perturb the Sum Method.

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#summation #perturbation-theory
128
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An interesting question of algebraic manipulation

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#algebra-precalculus #summation #symmetric-polynomials
536
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How to multiply (simplify?) two or more Riemann sums?

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#summation #riemann-integration #riemann-sum
40
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Inductive proof of the number of ways to color $n$ identical balls with $j$ colors

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#combinatorics #summation #binomial-coefficients #solution-verification
369
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Evaluate the summation $\sum_{n=1}^{10} n \left( \frac{1^2}{1 + n} + \frac{2^2}{2 + n} + ....+\frac{10^2}{10 + n}\right)$

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#sequences-and-series #summation
93
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Evaluating summation of arctan function

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#trigonometry #summation

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