Question

Alternating sum of binomial coefficients is equal to zero

score 14.4k · Answer 1 · 2026-04-11 12:49:12

14.4k

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Alternating sum of binomial coefficients is equal to zero

Published on 11 Apr 2026 - 12:49

score 135 · Answer 2 · 2026-04-16 08:13:22

135

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How to find the sum of sequence $ 1+4+4^2+\cdots+4^{X+Y} $?

Published on 16 Apr 2026 - 8:13

score 440 · Answer 3 · 2026-04-14 09:11:54

440

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Sum of degrees of irreducible complex characters for certain groups

Published on 14 Apr 2026 - 9:11

score 392 · Answer 4 · 2026-04-16 13:12:44

392

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Infinite Series $\left(\frac12+\frac14-\frac23\right)+\left(\frac15+\frac17-\frac26\right)+\left(\frac18+\frac{1}{10}-\frac29\right)+\cdots$

Published on 16 Apr 2026 - 13:12

score 125 · Answer 5 · 2026-04-12 05:44:02

125

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Show that $H_i=H_{n-i}$ and $\sum H_i=1$

Published on 12 Apr 2026 - 5:44

score 227 · Answer 6 · 2026-04-16 04:52:06

227

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What is the correct way to write sum from 47 to 54 so it means 404?

Published on 16 Apr 2026 - 4:52

score 2.7k · Answer 7 · 2026-03-25 09:32:09

2.7k

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For any positive integer $n$, show that $\sum_{d|n}\sigma(d) = \sum_{d|n}(n/d)\tau(d)$

Published on 25 Mar 2026 - 9:32

score 168 · Answer 8 · 2026-04-16 07:48:19

168

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Computing $\sum_{i=0}^{\infty}\frac{i}{2^{i+1}}$

Published on 16 Apr 2026 - 7:48

score 363 · Answer 9 · 2026-04-16 13:52:21

363

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Simplifying modulus expressions and an unknown expression? discrete math

Published on 16 Apr 2026 - 13:52

score 2.9k · Answer 10 · 2026-04-14 16:14:11

2.9k

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Finding a formula for $1+\sum_{j=1}^n(j!)\cdot j$ using induction

Published on 14 Apr 2026 - 16:14

score 143 · Answer 11 · 2026-04-16 15:06:29

143

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Find the sum of this series: $\sum_{n=1}^\infty$ $\dfrac{n}{2^{n-1}}$

Published on 16 Apr 2026 - 15:06

score 119 · Answer 12 · 2026-04-15 11:06:57

119

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Naive proof that $\sum_{n=1}^{N-1}\cos(2\pi\frac{n}{N})=-1$

Published on 15 Apr 2026 - 11:06

score 37 · Answer 13 · 2026-04-13 19:39:55

37

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Why is this term $=1$

Published on 13 Apr 2026 - 19:39

score 65 · Answer 14 · 2026-04-09 12:53:25

65

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Identity involving trigonometric sum

Published on 09 Apr 2026 - 12:53

score 386 · Answer 15 · 2026-04-10 23:27:08

386

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Summation of series of $2/(r-1)(r+1)$ using the method of differences

Published on 10 Apr 2026 - 23:27

List Question

Alternating sum of binomial coefficients is equal to zero

How to find the sum of sequence $ 1+4+4^2+\cdots+4^{X+Y} $?

Sum of degrees of irreducible complex characters for certain groups

Infinite Series $\left(\frac12+\frac14-\frac23\right)+\left(\frac15+\frac17-\frac26\right)+\left(\frac18+\frac{1}{10}-\frac29\right)+\cdots$

Show that $H_i=H_{n-i}$ and $\sum H_i=1$

What is the correct way to write sum from 47 to 54 so it means 404?

For any positive integer $n$, show that $\sum_{d|n}\sigma(d) = \sum_{d|n}(n/d)\tau(d)$

Computing $\sum_{i=0}^{\infty}\frac{i}{2^{i+1}}$

Simplifying modulus expressions and an unknown expression? discrete math

Finding a formula for $1+\sum_{j=1}^n(j!)\cdot j$ using induction

Find the sum of this series: $\sum_{n=1}^\infty$ $\dfrac{n}{2^{n-1}}$

Naive proof that $\sum_{n=1}^{N-1}\cos(2\pi\frac{n}{N})=-1$

Why is this term $=1$

Identity involving trigonometric sum

Summation of series of $2/(r-1)(r+1)$ using the method of differences

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