List questions from summation

Published on 10 Apr 2026 - 8:36

105

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Summing a series of integrals

Published on 10 May 2026 - 16:59

210

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Why is this true $\frac{1-y^n}{1-y}=(1+y+y^2+...+ y^{n-1})$?

Published on 17 Apr 2026 - 11:26

234

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$\sqrt 1+\sqrt 2 +\sqrt 3 +\cdots +\sqrt {2009}$ change a sign to be rational

Published on 11 May 2026 - 6:19

270

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For $\pm\sqrt 1\pm\sqrt 2 \pm\sqrt 3 \pm\cdots\pm\sqrt {2009}$, show there is a choice of signs such that it is irrational

Published on 16 May 2026 - 16:45

1.4k

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Deriving sum of powers formula using generating functions

Published on 09 Apr 2026 - 14:19

63

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Integral of a summation related to $\sin$ expansion

Published on 13 Apr 2026 - 14:40

112

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Need help with inductive proof of Binomial Theorem

Published on 10 Apr 2026 - 11:48

115

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Generating function for $\sum_{n=0}^{\infty} n^{p} x^n$

Published on 13 Apr 2026 - 16:13

260

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Even harmonic sums?

Published on 16 Apr 2026 - 0:15

540

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How to solve equations that consist of summations in both sides

Published on 12 Apr 2026 - 12:22

57

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How to interpret $\sum_{1 \le i , j\le n} $?

Published on 09 Apr 2026 - 4:07

1.7k

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Is there a way to iterate through a set?

Published on 12 Apr 2026 - 3:02

3k

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Finding the lower and upper sums of $f(x)=2x+1$

Published on 14 Apr 2026 - 22:47

317

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Are there $a,b \in \mathbb{N}$ that ${(\sum_{k=1}^n k)}^a = \sum_{k=1}^n k^b $ beside $2,3$

Published on 15 Apr 2026 - 13:03

List Question

GCD Summation function

Summing a series of integrals

Why is this true $\frac{1-y^n}{1-y}=(1+y+y^2+...+ y^{n-1})$?

$\sqrt 1+\sqrt 2 +\sqrt 3 +\cdots +\sqrt {2009}$ change a sign to be rational

For $\pm\sqrt 1\pm\sqrt 2 \pm\sqrt 3 \pm\cdots\pm\sqrt {2009}$, show there is a choice of signs such that it is irrational

Deriving sum of powers formula using generating functions

Integral of a summation related to $\sin$ expansion

Need help with inductive proof of Binomial Theorem

Generating function for $\sum_{n=0}^{\infty} n^{p} x^n$

Even harmonic sums?

How to solve equations that consist of summations in both sides

How to interpret $\sum_{1 \le i , j\le n} $?

Is there a way to iterate through a set?

Finding the lower and upper sums of $f(x)=2x+1$

Are there $a,b \in \mathbb{N}$ that ${(\sum_{k=1}^n k)}^a = \sum_{k=1}^n k^b $ beside $2,3$

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