List questions from binomial-theorem

Published on 09 Oct 2017 - 20:03

48

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Two Poisson Distributions General Expression

Published on 04 Apr 2026 - 3:48

195

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Binomial Coefficient Question

Published on 10 Oct 2017 - 21:15

129

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Proof that $\sum_{k=0}^{n} {n\choose k}=2^n$ and implications

Published on 12 Oct 2017 - 11:42

40

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Is it true that when $r=s-1$ is summed from $0\to k$, then $s$ is summed from $1\to k+1$?

Published on 13 Oct 2017 - 9:19

57

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Prove, that the sum of all remainders is ${p^3 - p^2 \over 2}$, if $p$ is a prime number greater than $2$

Published on 15 Oct 2017 - 2:46

184

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Proof that: $(a-b)\cdot\Bigg(\sum_{k=0}^{n}a^{n-k}b^{k}\Bigg)=a^{n+1}-b^{n+1}\text{ }\forall n\in\mathbb{N_{0}}$

Published on 17 Oct 2017 - 12:55

135

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Summation of binomial coefficients squared

Published on 18 Oct 2017 - 5:05

2.2k

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How many terms are rational in the binomial expansion of $(x^{1/2}+y^{1/3})^{100}$?

Published on 18 Oct 2017 - 23:13

326

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Power series derivative using binomial theorem

Published on 19 Oct 2017 - 0:26

489

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What will be the expansion of $(a_1+a_2+...a_n)^2$

Published on 19 Oct 2017 - 1:32

88

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Proof for odd number of coefficients .

Published on 04 Apr 2026 - 3:18

45

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Expansion of $(1+3x)^{-5/3}$

Published on 20 Oct 2017 - 13:15

80

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Proof about Fermat number without induction

Published on 23 Feb 2026 - 10:14

1.9k

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Expansion of Binomial Coefficient $(1+x+x^2)^n$

Published on 25 Oct 2017 - 7:09

List Question

Proving binomial theorem in $\mathbb Z$ modulo $p$ where $p$ is prime

Two Poisson Distributions General Expression

Binomial Coefficient Question

Proof that $\sum_{k=0}^{n} {n\choose k}=2^n$ and implications

Is it true that when $r=s-1$ is summed from $0\to k$, then $s$ is summed from $1\to k+1$?

Prove, that the sum of all remainders is ${p^3 - p^2 \over 2}$, if $p$ is a prime number greater than $2$

Proof that: $(a-b)\cdot\Bigg(\sum_{k=0}^{n}a^{n-k}b^{k}\Bigg)=a^{n+1}-b^{n+1}\text{ }\forall n\in\mathbb{N_{0}}$

Summation of binomial coefficients squared

How many terms are rational in the binomial expansion of $(x^{1/2}+y^{1/3})^{100}$?

Power series derivative using binomial theorem

What will be the expansion of $(a_1+a_2+...a_n)^2$

Proof for odd number of coefficients .

Expansion of $(1+3x)^{-5/3}$

Proof about Fermat number without induction

Expansion of Binomial Coefficient $(1+x+x^2)^n$

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