List questions from binomial-theorem

Published on 14 Oct 2013 - 0:46

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Proving $\sum_{k=0}^n\binom{2n}{2k} = 2^{2n-1}$

Published on 19 Oct 2013 - 10:02

5.8k

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Subtraction between two binomial variables

Published on 19 Oct 2013 - 13:40

250

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Evaluate $\binom{12}0+\binom{12}2+\ldots+\binom{12}{12}$ using binomial theorem

Published on 23 Oct 2013 - 12:07

219

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Proving that the eigenvectors of this class of matrices are the binomial coefficients

Published on 23 Oct 2013 - 17:56

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Does this hold: $(1+\sqrt[n]{M})^n=2^n\cdot\sqrt M$

Published on 01 Nov 2013 - 5:59

128

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The middle term of $(2x+3^y)^{12}$

Published on 01 Nov 2013 - 12:43

102

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How to get $\sum_{k=1}^{n-1}n\binom{n-1}{k-1}y^k \bigg(\frac{1-z^k}{k}- \frac{1-z^n}{n}\bigg)$"?

Published on 02 Nov 2013 - 2:50

127

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Proof Concerning Sum of Binomial Coefficients

Published on 02 Nov 2013 - 13:56

409

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application of binomial theorem

Published on 02 Nov 2013 - 22:47

119

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Evaluation of a series (possibly related to Binomial Theorem)

Published on 05 Nov 2013 - 4:52

132

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Direct proof that $\sum_{n\geq 0}\frac{x^n}{n!}=\lim_{n\rightarrow\infty}(1+\frac{x}{n})^n$

Published on 05 Nov 2013 - 18:49

313

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binomial theorem with conditional probability

Published on 05 Nov 2013 - 20:53

55

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How to identify coefficients with the binomialcoefficient

Published on 06 Nov 2013 - 22:02

215

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First Order Definitions of Finite

Published on 28 Mar 2026 - 10:04

List Question

Prove $\sum\binom{n}{k}2^k = 3^n$ using the binomial theorem

Proving $\sum_{k=0}^n\binom{2n}{2k} = 2^{2n-1}$

Subtraction between two binomial variables

Evaluate $\binom{12}0+\binom{12}2+\ldots+\binom{12}{12}$ using binomial theorem

Proving that the eigenvectors of this class of matrices are the binomial coefficients

Does this hold: $(1+\sqrt[n]{M})^n=2^n\cdot\sqrt M$

The middle term of $(2x+3^y)^{12}$

How to get $\sum_{k=1}^{n-1}n\binom{n-1}{k-1}y^k \bigg(\frac{1-z^k}{k}- \frac{1-z^n}{n}\bigg)$"?

Proof Concerning Sum of Binomial Coefficients

application of binomial theorem

Evaluation of a series (possibly related to Binomial Theorem)

Direct proof that $\sum_{n\geq 0}\frac{x^n}{n!}=\lim_{n\rightarrow\infty}(1+\frac{x}{n})^n$

binomial theorem with conditional probability

How to identify coefficients with the binomialcoefficient

First Order Definitions of Finite

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