List questions from binomial-theorem

Published on 09 Sep 2017 - 19:31

156

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Sequences solutions with generating functions

Published on 09 Sep 2017 - 21:18

401

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Binomial Expansion - Simple application of the formula

Published on 10 Sep 2017 - 13:50

944

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Proof $(1+i)^{n}$ = $2^{n/2}(\cos(nπ/4)+i\sin(nπ/4))$

Published on 10 Sep 2017 - 15:30

390

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Finding generating function for a given sequence

Published on 10 Sep 2017 - 19:12

64

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How to find the term of $x^3$ in $(1+x)^5(1-x+x^2)^4$?

Published on 11 Sep 2017 - 6:37

31

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How to derive the binomial theorem?

Published on 11 Sep 2017 - 7:48

88

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Find value of $\sum\limits_{k=0}^{10}{(-1)^k C(10,k)/(2^k)}$

Published on 11 Sep 2017 - 14:23

148

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Binomial Sum identity

Published on 12 Sep 2017 - 17:59

3.2k

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Is this logic correct?

Published on 12 Sep 2017 - 18:35

37

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Distributing different objects to 4 groups

Published on 12 Sep 2017 - 19:51

209

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About the identity $\sum\limits_{i=0}^{\infty}\binom{2i+j}{i}z^i=\frac{B_2(z)^j}{\sqrt{1-4z}}$

Published on 14 Sep 2017 - 13:46

118

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Find a closed-form for a power series including binomial coefficients

Published on 14 Sep 2017 - 14:57

16k

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Number of terms$(2x+3y-4z)^n$

Published on 15 Sep 2017 - 9:22

186

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Prove $3^n$ > $n^4$ if $n\geq 8$

Published on 16 Sep 2017 - 21:58

List Question

Accurate model for the height of Tidal Bulge from the Moon using Binomial expansion?

Sequences solutions with generating functions

Binomial Expansion - Simple application of the formula

Proof $(1+i)^{n}$ = $2^{n/2}(\cos(nπ/4)+i\sin(nπ/4))$

Finding generating function for a given sequence

How to find the term of $x^3$ in $(1+x)^5(1-x+x^2)^4$?

How to derive the binomial theorem?

Find value of $\sum\limits_{k=0}^{10}{(-1)^k C(10,k)/(2^k)}$

Binomial Sum identity

Is this logic correct?

Distributing different objects to 4 groups

About the identity $\sum\limits_{i=0}^{\infty}\binom{2i+j}{i}z^i=\frac{B_2(z)^j}{\sqrt{1-4z}}$

Find a closed-form for a power series including binomial coefficients

Number of terms$(2x+3y-4z)^n$

Prove $3^n$ > $n^4$ if $n\geq 8$

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