Question

Sum of a finite series almost like gp

score 48 · Answer 1 · 2026-04-13 15:42:51

48

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Sum of a finite series almost like gp

Published on 13 Apr 2026 - 15:42

score 77 · Answer 2 · 2026-04-17 13:45:27

77

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Prove that $(s_2 - s_1) + (s_4 - s_3) + \cdots + (s_n - s_{n-1}) < s_n - s_1$

Published on 17 Apr 2026 - 13:45

score 28 · Answer 3 · 2026-04-10 07:39:40

28

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How to evaluate the finite summation of number series

Published on 10 Apr 2026 - 7:39

score 10.9k · Answer 4 · 2026-04-16 17:31:57

10.9k

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Summation Notation of i = 0 to N

Published on 16 Apr 2026 - 17:31

score 52 · Answer 5 · 2026-03-25 07:45:35

52

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How is $\sum_{k \geq 0} \sum_{i \geq k+1} \mathbb{P}(X=i) = \sum_{i \geq 1} \sum_{k=0}^{i-1}\mathbb{P}(X=i) = \sum_{i \geq1} i \mathbb{P}(X=i) $?

Published on 25 Mar 2026 - 7:45

score 69 · Answer 6 · 2026-04-17 01:31:39

69

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Find my mistake: Prove $\sum_{i=0}^{r} \sum_{j=0}^{c} \binom{i+j}{j}=\binom{r+c+2}{c+1}-1$

Published on 17 Apr 2026 - 1:31

score 158 · Answer 7 · 2026-04-16 16:01:00

158

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Find the asymptotic expansion as $N \rightarrow \infty$ of $\sum_{n=1}^{n_{\max}} \left\lceil{\sqrt{2nN+n^2}}\right\rceil$

Published on 16 Apr 2026 - 16:01

score 95 · Answer 8 · 2026-04-12 20:37:43

95

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simplifying summations inspired by binomial coefficient and binomial distribution

Published on 12 Apr 2026 - 20:37

score 58 · Answer 9 · 2026-04-12 15:22:51

58

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limit of an exponentiated sum

Published on 12 Apr 2026 - 15:22

score 63 · Answer 10 · 2026-04-14 18:46:31

63

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Show that $\sum_{i=1}^{k}{k+1 \choose i}S_n(i)=(n+1)^{k+1}-n-1$?

Published on 14 Apr 2026 - 18:46

score 25 · Answer 11 · 2026-04-14 21:42:36

25

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Find the summation, given a few numbers of the sequence

Published on 14 Apr 2026 - 21:42

score 83 · Answer 12 · 2026-04-13 20:19:39

83

Views

What is the distribution function for the sum of N discrete variables [0,1,2]

Published on 13 Apr 2026 - 20:19

score 53 · Answer 13 · 2026-04-14 17:18:46

53

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Finding a general expression for $\sum_{k=1}^n a_{k} \exp\left(\frac{ick}{n}\right)$?

Published on 14 Apr 2026 - 17:18

score 93 · Answer 14 · 2026-04-13 17:05:52

93

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Pine tree shaped in binomial coefficients and a proving the formula derived from the shape

Published on 13 Apr 2026 - 17:05

score 355 · Answer 15 · 2026-04-14 05:06:38

355

Views

A double sum for the square of the natural logarithm of $2$.

Published on 14 Apr 2026 - 5:06

List Question

Sum of a finite series almost like gp

Prove that $(s_2 - s_1) + (s_4 - s_3) + \cdots + (s_n - s_{n-1}) < s_n - s_1$

How to evaluate the finite summation of number series

Summation Notation of i = 0 to N

How is $\sum_{k \geq 0} \sum_{i \geq k+1} \mathbb{P}(X=i) = \sum_{i \geq 1} \sum_{k=0}^{i-1}\mathbb{P}(X=i) = \sum_{i \geq1} i \mathbb{P}(X=i) $?

Find my mistake: Prove $\sum_{i=0}^{r} \sum_{j=0}^{c} \binom{i+j}{j}=\binom{r+c+2}{c+1}-1$

Find the asymptotic expansion as $N \rightarrow \infty$ of $\sum_{n=1}^{n_{\max}} \left\lceil{\sqrt{2nN+n^2}}\right\rceil$

simplifying summations inspired by binomial coefficient and binomial distribution

limit of an exponentiated sum

Show that $\sum_{i=1}^{k}{k+1 \choose i}S_n(i)=(n+1)^{k+1}-n-1$?

Find the summation, given a few numbers of the sequence

What is the distribution function for the sum of N discrete variables [0,1,2]

Finding a general expression for $\sum_{k=1}^n a_{k} \exp\left(\frac{ick}{n}\right)$?

Pine tree shaped in binomial coefficients and a proving the formula derived from the shape

A double sum for the square of the natural logarithm of $2$.

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