List questions from binomial-theorem

Published on 26 Mar 2026 - 19:14

53

Views

Expansion of $S_n$ is less than $T_n$

Published on 01 Feb 2016 - 5:24

254

Views

Using binomial theorem to prove $a | b^n \Rightarrow a | b$. ( | is divides, a prime, n integer > 1)

Published on 02 Feb 2016 - 6:07

326

Views

Solve: $x = (x-\frac{1}{x}) ^ {1/9} + (1-\frac{1}{x})^{1/9}$

Published on 02 Feb 2016 - 14:37

3k

Views

What is the coefficient of ${x}^{101}{y}^{99}$ in the expression of $(2x-3y)^{200}$

Published on 03 Feb 2016 - 8:25

248

Views

Use induction and Pascal's Identity to show that $\sum_{k=0}^{r}C(n+k,k) = C(n+r+1,r)$

Published on 03 Feb 2016 - 15:37

1.7k

Views

Binomial expansion in the form $(1+x^2)^n$

Published on 05 Feb 2016 - 11:59

50

Views

How to get from left to right-hand side of the equation? $ \sum_{k=0}^{d} \binom{2d+1}{k} = \frac{1}{2} \cdot 2^{2d+1} $

Published on 05 Feb 2016 - 16:56

61

Views

Range of the expression $n^n (\frac{n+1}{2})^{2n}$

Published on 07 Feb 2016 - 16:01

931

Views

Evaluating $\cos^{\pi}\pi$ via binomial expansion of $\left(\frac12(e^{xi}+e^{-xi})\right)^\pi$

Published on 07 Feb 2016 - 16:55

87

Views

How do I calculate $\sum_{k=1}^{33}\binom{33}{k} k$

Published on 08 Feb 2016 - 11:31

43

Views

Summation of series with binomial coefficients

Published on 08 Feb 2016 - 12:50

154

Views

Proof $x$, $1+nx≤ (1+x)^n$

Published on 09 Feb 2016 - 12:34

96

Views

Proof $\dbinom{n}{0} - \frac{1}{2}\dbinom{n}{1} + \cdots + (-1)^n\frac{1}{2^{n-1}}\dbinom{n}{n-1}$

Published on 09 Feb 2016 - 14:11

2k

Views

Find a closed formula for $\sum_{n=1}^\infty nx^{n-1}$

Published on 13 Feb 2016 - 2:47

List Question

Multinomial coefficient

Expansion of $S_n$ is less than $T_n$

Using binomial theorem to prove $a | b^n \Rightarrow a | b$. ( | is divides, a prime, n integer > 1)

Solve: $x = (x-\frac{1}{x}) ^ {1/9} + (1-\frac{1}{x})^{1/9}$

What is the coefficient of ${x}^{101}{y}^{99}$ in the expression of $(2x-3y)^{200}$

Use induction and Pascal's Identity to show that $\sum_{k=0}^{r}C(n+k,k) = C(n+r+1,r)$

Binomial expansion in the form $(1+x^2)^n$

How to get from left to right-hand side of the equation? $ \sum_{k=0}^{d} \binom{2d+1}{k} = \frac{1}{2} \cdot 2^{2d+1} $

Range of the expression $n^n (\frac{n+1}{2})^{2n}$

Evaluating $\cos^{\pi}\pi$ via binomial expansion of $\left(\frac12(e^{xi}+e^{-xi})\right)^\pi$

How do I calculate $\sum_{k=1}^{33}\binom{33}{k} k$

Summation of series with binomial coefficients

Proof $x$, $1+nx≤ (1+x)^n$

Proof $\dbinom{n}{0} - \frac{1}{2}\dbinom{n}{1} + \cdots + (-1)^n\frac{1}{2^{n-1}}\dbinom{n}{n-1}$

Find a closed formula for $\sum_{n=1}^\infty nx^{n-1}$

Trending Questions

Popular # Hahtags

Popular Questions