List questions from binomial-theorem

Published on 17 Dec 2015 - 12:41

148

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Compute $\sum_{k=4}^{n=30} \frac{C(25,k-3) * 4^{2k-7}}{k-2}$

Published on 17 Dec 2015 - 14:02

30

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Find constant of this inequality $\textbf{t}' \textbf{E}^b \textbf{t} \geq (\textbf{t}'\textbf{E} \textbf{t})^a$

Published on 30 Mar 2026 - 8:30

1.2k

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Is there a name for a binomial expansion without coefficients?

Published on 20 Dec 2015 - 19:04

15.6k

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Binomial expansion for $(x+a)^n$ for non-integer n

Published on 21 Dec 2015 - 14:53

511

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An interesting Sum involving Binomial Coefficients

Published on 22 Dec 2015 - 13:31

50

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Confusion regarding a series

Published on 23 Dec 2015 - 16:13

256

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Calculate $\lim_{n \to \infty}\binom{2n}{n}$ without using L'Hôpital's rule.

Published on 25 Dec 2015 - 16:11

488

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A sum related to binomial theorem

Published on 26 Dec 2015 - 6:30

57

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Binomial theorem for differences

Published on 06 Jan 2016 - 11:41

514

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Generalisation of Binomial Theorem, Leibniz Formula and similar theorems

Published on 06 Jan 2016 - 18:18

68

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Binomial Theorem: does $\sum\limits_{i=0}^{n}{{n}\choose{i}} = \dfrac{1}{2}\sum\limits_{i=0}^{n+1}{{n+1}\choose{i}}$?

Published on 09 Jan 2016 - 1:57

64

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How to show $\phantom{d}_d C_0+\phantom{d}_d C_4 + \cdots = 2^{d-2} + 2^{\frac{d}{2}-1} \cos(\frac{d \pi}{4}) $?

Published on 09 Jan 2016 - 3:56

103

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Can this be proved using definite integrals

Published on 01 Apr 2026 - 0:37

262

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Closed form of this binomial expression?

Published on 09 Jan 2016 - 23:25

List Question

How to apply the binomial theorem to $(a^n - b^n)/(a - b)$?

Compute $\sum_{k=4}^{n=30} \frac{C(25,k-3) * 4^{2k-7}}{k-2}$

Find constant of this inequality $\textbf{t}' \textbf{E}^b \textbf{t} \geq (\textbf{t}'\textbf{E} \textbf{t})^a$

Is there a name for a binomial expansion without coefficients?

Binomial expansion for $(x+a)^n$ for non-integer n

An interesting Sum involving Binomial Coefficients

Confusion regarding a series

Calculate $\lim_{n \to \infty}\binom{2n}{n}$ without using L'Hôpital's rule.

A sum related to binomial theorem

Binomial theorem for differences

Generalisation of Binomial Theorem, Leibniz Formula and similar theorems

Binomial Theorem: does $\sum\limits_{i=0}^{n}{{n}\choose{i}} = \dfrac{1}{2}\sum\limits_{i=0}^{n+1}{{n+1}\choose{i}}$?

How to show $\phantom{d}_d C_0+\phantom{d}_d C_4 + \cdots = 2^{d-2} + 2^{\frac{d}{2}-1} \cos(\frac{d \pi}{4}) $?

Can this be proved using definite integrals

Closed form of this binomial expression?

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