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Explicit formula for $S_n=\sum_{r=1}^n\dfrac1{r(r+1)}$.

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#real-analysis #sequences-and-series #limits #convergence-divergence #telescopic-series
94
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Find the limit of $\frac{T_n}{5n+4}$

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#sequences-and-series #algebra-precalculus #limits #telescopic-series
98
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Find the sum of series $\sum_{k=1}^\infty \frac{1}{k^2+2k}$

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#sequences-and-series #analysis #geometric-series #telescopic-series
121
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Sum $ \sum_{n=1}^{\infty} {n2^n\over(n+2)!} $?

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#calculus #sequences-and-series #factorial #telescopic-series
57
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Expressing $\sum\limits_{k=1}^{n-1}\frac{1}{k(k+1)}$ as $1 - \frac{1}{n}$

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#sequences-and-series #self-learning #telescopic-series
1.3k
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Alternative way to solve a limit problem

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#calculus #sequences-and-series #limits #telescopic-series
56
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How to convert this into a telescopic sum

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#sequences-and-series #algebra-precalculus #telescopic-series
50
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Need help in showing that the summation $\sum_{k=1}^{n} (a_{k+1}-a_{k}) = a_{n+1}-a_1$

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#discrete-mathematics #summation #telescopic-series
106
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Is it a challenge to evaluate the indefinite integral $\int \frac{\sin n x}{\sin x} d x$, where $n\in N?$

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#integration #trigonometry #indefinite-integrals #telescopic-series
156
Views

Infinite sums of squares

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#sequences-and-series #summation #telescopic-series
89
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Summation of alternating series:$\sum_{k=1}^{n} (-1)^{k-1}k$

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#sequences-and-series #summation #telescopic-series
118
Views

Upper bound for Telescoping sum in gradient descent

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#inequality #machine-learning #gradient-descent #telescopic-series
76
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What is the value of $a_1a_2\cdots a_{2019}$?

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#algebra-precalculus #contest-math #recurrence-relations #telescopic-series
106
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Using Gosper's algorithm to obtain the WZ certificate of $\sum \binom{n}{k} = 2^n$

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#summation #algorithms #binomial-coefficients #hypergeometric-function #telescopic-series
181
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How to calculate the sum $\sum_{i=1}^{\infty} \frac{6}{n(n+3)}$

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#sequences-and-series #convergence-divergence #telescopic-series

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