Question

Prove difference of summations $=\frac{e^2}{2}$

score 71 · Answer 1 · 2026-04-17 12:15:48

71

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Prove difference of summations $=\frac{e^2}{2}$

Published on 17 Apr 2026 - 12:15

score 686 · Answer 2 · 2026-04-17 13:38:28

686

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Computing $C_0^2+C_1^2+C_2^2+C_3^2+ \cdots +C_n^2$

Published on 17 Apr 2026 - 13:38

score 970 · Answer 3 · 2026-04-09 08:25:44

970

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How to prove a double sum is always an integer?

Published on 09 Apr 2026 - 8:25

score 108 · Answer 4 · 2026-04-15 08:41:52

108

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The limit of a sum of the form $a_0 \sqrt n + a_1 \sqrt {n + 1} +\cdots + a_k \sqrt {n + k}$

Published on 15 Apr 2026 - 8:41

score 21.2k · Answer 5 · 2026-04-15 01:35:05

21.2k

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Summation of trigonometric functions such as $\sin x$

Published on 15 Apr 2026 - 1:35

score 3.4k · Answer 6 · 2026-04-12 15:15:51

3.4k

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Is there any way to approximate a sum of square roots

Published on 12 Apr 2026 - 15:15

score 78 · Answer 7 · 2026-04-13 10:07:03

78

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How the second form of following equation is derived form first form (i.e. given first line, what are the steps involved in writing second line

Published on 13 Apr 2026 - 10:07

score 277 · Answer 8 · 2026-04-16 03:32:35

277

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If $\sum a_n$ converges, does $\sum a_n / 2^n$ converge as well?

Published on 16 Apr 2026 - 3:32

score 742 · Answer 9 · 2026-04-08 20:24:42

742

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Which expansion of $e$ is more accurate?

Published on 08 Apr 2026 - 20:24

score 57 · Answer 10 · 2026-04-17 08:48:51

57

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Algebra question $n\sum_{k=0}^n {n-1 \choose k-1} p^{k}q^{n-k} = np\sum_{k=1}^n {n-1 \choose k-1} p^{k-1}q^{n-k}$

Published on 17 Apr 2026 - 8:48

score 2.3k · Answer 11 · 2026-04-14 17:21:48

2.3k

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Prove convergence by considering the partial sums

Published on 14 Apr 2026 - 17:21

score 349 · Answer 12 · 2026-04-14 11:48:58

349

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Sum $y(x)=\sum_{k=1}^{\infty} \frac{|\cos(kx)|}{k}$

Published on 14 Apr 2026 - 11:48

score 203 · Answer 13 · 2026-04-11 22:59:52

203

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How do I succinctly note the sum of $(n-1)+(n-2)+...$?

Published on 11 Apr 2026 - 22:59

score 80 · Answer 14 · 2026-04-14 17:00:50

80

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By expanding $e^x$ into a series prove the following inequality

Published on 14 Apr 2026 - 17:00

score 271 · Answer 15 · 2026-04-11 09:39:06

271

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Bounds on sum of cosines

Published on 11 Apr 2026 - 9:39

List Question

Prove difference of summations $=\frac{e^2}{2}$

Computing $C_0^2+C_1^2+C_2^2+C_3^2+ \cdots +C_n^2$

How to prove a double sum is always an integer?

The limit of a sum of the form $a_0 \sqrt n + a_1 \sqrt {n + 1} +\cdots + a_k \sqrt {n + k}$

Summation of trigonometric functions such as $\sin x$

Is there any way to approximate a sum of square roots

How the second form of following equation is derived form first form (i.e. given first line, what are the steps involved in writing second line

If $\sum a_n$ converges, does $\sum a_n / 2^n$ converge as well?

Which expansion of $e$ is more accurate?

Algebra question $n\sum_{k=0}^n {n-1 \choose k-1} p^{k}q^{n-k} = np\sum_{k=1}^n {n-1 \choose k-1} p^{k-1}q^{n-k}$

Prove convergence by considering the partial sums

Sum $y(x)=\sum_{k=1}^{\infty} \frac{|\cos(kx)|}{k}$

How do I succinctly note the sum of $(n-1)+(n-2)+...$?

By expanding $e^x$ into a series prove the following inequality

Bounds on sum of cosines

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