List questions from binomial-theorem

Published on 28 Jan 2014 - 1:04

141

Views

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

Published on 01 Feb 2014 - 23:36

189

Views

Proof with Binomial Theorem

Published on 04 Feb 2014 - 20:18

997

Views

Show that $\sum\limits_{k=0}^n\binom{2n}{2k}^{\!2}-\sum\limits_{k=0}^{n-1}\binom{2n}{2k+1}^{\!2}=(-1)^n\binom{2n}{n}$

Published on 29 Mar 2026 - 9:11

357

Views

Applying the binomial expansion to a sum of multiple binomial expansions.

Published on 07 Feb 2014 - 13:22

824

Views

Prove that Binet's formula gives an integer, using the binomial theorem

Published on 13 Feb 2014 - 2:41

140

Views

Integrating $\sec^a\theta$ for all values. Does the Binomial Theorem hold for fractional exponents?

Published on 14 Feb 2014 - 15:54

2.6k

Views

Finding the Coefficient of X^9 in (1+x^3+X^8)^10

Published on 18 Feb 2014 - 7:06

221

Views

Equality of a function and Taylor Series

Published on 19 Feb 2014 - 8:58

235

Views

Falling factorial summands

Published on 19 Feb 2014 - 11:57

117

Views

Find the required digit

Published on 19 Feb 2014 - 19:24

844

Views

Combinatorial proofs of the identity $(a+b)^2 = a^2 +b^2 +2ab$

Published on 29 Mar 2026 - 11:02

61

Views

Nevin's problem 1.4.10

Published on 20 Feb 2014 - 3:56

110

Views

Binomial problem

Published on 20 Feb 2014 - 5:26

72

Views

Approximation of $\sqrt{1+wi}$

Published on 25 Feb 2014 - 15:06

List Question

Central limit theorem inequality with binomial distribution

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

Proof with Binomial Theorem

Show that $\sum\limits_{k=0}^n\binom{2n}{2k}^{\!2}-\sum\limits_{k=0}^{n-1}\binom{2n}{2k+1}^{\!2}=(-1)^n\binom{2n}{n}$

Applying the binomial expansion to a sum of multiple binomial expansions.

Prove that Binet's formula gives an integer, using the binomial theorem

Integrating $\sec^a\theta$ for all values. Does the Binomial Theorem hold for fractional exponents?

Finding the Coefficient of X^9 in (1+x^3+X^8)^10

Equality of a function and Taylor Series

Falling factorial summands

Find the required digit

Combinatorial proofs of the identity $(a+b)^2 = a^2 +b^2 +2ab$

Nevin's problem 1.4.10

Binomial problem

Approximation of $\sqrt{1+wi}$

Trending Questions

Popular # Hahtags

Popular Questions