List questions from binomial-theorem

Published on 02 Apr 2026 - 12:30

45

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Generalization Newton's Binomial

Published on 25 Nov 2017 - 20:29

85

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How to solve a binomial for $n$

Published on 26 Nov 2017 - 17:28

55

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Finding the constants a,b,c

Published on 26 Nov 2017 - 18:48

29

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general formula in a binomial expansion

Published on 27 Nov 2017 - 16:47

59

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Prove that $\forall n \in \mathbb Z^{+}$, $2^n=\sum_{i=0}^{n}{n \choose i} $

Published on 27 Nov 2017 - 20:10

59

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Roots of a summation

Published on 30 Nov 2017 - 1:25

34

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Asymptotic expression of $(1+bx^a)^n$ as $x\to0$

Published on 30 Nov 2017 - 12:02

492

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Prove that $7^{100} - 3^{100}$ is divisible by $1000$

Published on 03 Apr 2026 - 1:53

64

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Value of a series involving coefficients of binomial expansion

Published on 04 Dec 2017 - 13:30

206

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Why is the binomial theorem taught like this?

Published on 04 Dec 2017 - 15:30

246

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Prove $\sum_{k= 0}^{n} k \binom{n}{k} = n \cdot 2^{n-1}$ using the binomial theorem for $n\geq1$

Published on 04 Dec 2017 - 18:25

172

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Coefficient of $x^{50}$ in the polynomial.

Published on 05 Dec 2017 - 8:31

228

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Prove that for $(1-x)^m (1+x)^n$ there is no $k$ such that the coefficients of $x^k$ and $x^{k+1}$ are both $0$

Published on 05 Dec 2017 - 9:38

488

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Convolution formula for multisets coefficients

Published on 26 Mar 2026 - 18:49

List Question

How to compute the Laurent series of $(1+D/x)^{6/5}$?

Generalization Newton's Binomial

How to solve a binomial for $n$

Finding the constants a,b,c

general formula in a binomial expansion

Prove that $\forall n \in \mathbb Z^{+}$, $2^n=\sum_{i=0}^{n}{n \choose i} $

Roots of a summation

Asymptotic expression of $(1+bx^a)^n$ as $x\to0$

Prove that $7^{100} - 3^{100}$ is divisible by $1000$

Value of a series involving coefficients of binomial expansion

Why is the binomial theorem taught like this?

Prove $\sum_{k= 0}^{n} k \binom{n}{k} = n \cdot 2^{n-1}$ using the binomial theorem for $n\geq1$

Coefficient of $x^{50}$ in the polynomial.

Prove that for $(1-x)^m (1+x)^n$ there is no $k$ such that the coefficients of $x^k$ and $x^{k+1}$ are both $0$

Convolution formula for multisets coefficients

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