Question

How to get the last line?

score 70 · Answer 1 · 2026-04-11 12:29:31

70

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How to get the last line?

Published on 11 Apr 2026 - 12:29

score 1.2k · Answer 2 · 2026-04-16 02:30:07

1.2k

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Proof/derivation of $\lim\limits_{n\to\infty}{\frac1{2^n}\sum\limits_{k=0}^n\binom{n}{k}\frac{an+bk}{cn+dk}}\stackrel?=\frac{2a+b}{2c+d}$?

Published on 16 Apr 2026 - 2:30

score 59 · Answer 3 · 2026-04-15 07:54:08

59

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Issues regarding my take on proving $E(X) = \lambda$, where $X\sim Poisson(\lambda)$

Published on 15 Apr 2026 - 7:54

score 291 · Answer 4 · 2026-04-13 03:59:58

291

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Summing the Euler $\varphi$-function $\varphi(n)$

Published on 13 Apr 2026 - 3:59

score 240 · Answer 5 · 2026-04-11 05:47:58

240

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Compute $\sum\limits_{k=0}^{100}\frac{1}{(100-k)!(100+k)!}$

Published on 11 Apr 2026 - 5:47

score 2k · Answer 6 · 2026-04-16 01:20:58

2k

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Find the integer part of the sum $S=\sum_{k=1}^{80} \frac{1}{\sqrt k} $

Published on 16 Apr 2026 - 1:20

score 205 · Answer 7 · 2026-04-10 15:02:08

205

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Definite Integral using its McLaurin Series.

Published on 10 Apr 2026 - 15:02

score 148 · Answer 8 · 2026-04-12 15:22:59

148

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Closed form solution of a hypergeometric sum.

Published on 12 Apr 2026 - 15:22

score 2.6k · Answer 9 · 2026-04-13 12:41:27

2.6k

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Single summation with two variables

Published on 13 Apr 2026 - 12:41

score 137 · Answer 10 · 2026-04-16 13:03:10

137

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A proof for the inequality $\sum_{i=0}^{t-2}{\frac{1}{t+3i}} \leq \frac{1}{2} $ for all $t \geq 2$

Published on 16 Apr 2026 - 13:03

score 87 · Answer 11 · 2026-04-16 03:25:58

87

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A proof for $\sum_{i=0}^{t-2}{\frac{1}{t+3i}} \leq \frac{1}{2}$

Published on 16 Apr 2026 - 3:25

score 136 · Answer 12 · 2026-04-16 01:03:54

136

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$ z^n = a_n + b_ni $ Show that $ b_{n+2} - 2b_{n+1} + 5b_n = 0 $ (complex numbers)

Published on 16 Apr 2026 - 1:03

score 1.4k · Answer 13 · 2026-04-08 23:31:22

1.4k

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Is it possible to calculate the Average of Products from the Product of Averages?

Published on 08 Apr 2026 - 23:31

score 108 · Answer 14 · 2026-04-16 10:00:09

108

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Prove $\sum_{k=1}^{n} 2^n \text{ mod }k > 2n$ where $n > 1000$

Published on 16 Apr 2026 - 10:00

score 44 · Answer 15 · 2026-04-08 12:32:21

44

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An error in the simplification of a sum

Published on 08 Apr 2026 - 12:32

List Question

How to get the last line?

Proof/derivation of $\lim\limits_{n\to\infty}{\frac1{2^n}\sum\limits_{k=0}^n\binom{n}{k}\frac{an+bk}{cn+dk}}\stackrel?=\frac{2a+b}{2c+d}$?

Issues regarding my take on proving $E(X) = \lambda$, where $X\sim Poisson(\lambda)$

Summing the Euler $\varphi$-function $\varphi(n)$

Compute $\sum\limits_{k=0}^{100}\frac{1}{(100-k)!(100+k)!}$

Find the integer part of the sum $S=\sum_{k=1}^{80} \frac{1}{\sqrt k} $

Definite Integral using its McLaurin Series.

Closed form solution of a hypergeometric sum.

Single summation with two variables

A proof for the inequality $\sum_{i=0}^{t-2}{\frac{1}{t+3i}} \leq \frac{1}{2} $ for all $t \geq 2$

A proof for $\sum_{i=0}^{t-2}{\frac{1}{t+3i}} \leq \frac{1}{2}$

$ z^n = a_n + b_ni $ Show that $ b_{n+2} - 2b_{n+1} + 5b_n = 0 $ (complex numbers)

Is it possible to calculate the Average of Products from the Product of Averages?

Prove $\sum_{k=1}^{n} 2^n \text{ mod }k > 2n$ where $n > 1000$

An error in the simplification of a sum

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