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Doubt in a derivation

score 61 · Answer 1 · 2016-05-10 13:39:22

61

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Doubt in a derivation

Published on 10 May 2016 - 13:39

score 203 · Answer 2 · 2026-03-30 05:28:53

203

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Application of power series/ binomial theorem in inverse sampling

Published on 30 Mar 2026 - 5:28

score 132 · Answer 3 · 2016-05-14 13:23:56

132

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Let $(\sqrt{3} + \sqrt{2})^5 = a\sqrt{3} + b\sqrt{2}, a,b \in \mathbb Z$ Find $a+b$.

Published on 14 May 2016 - 13:23

score 4.6k · Answer 4 · 2016-05-16 12:46:48

4.6k

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What is the probability of a biased coin flipping heads (probability of heads is $\frac 35$) exactly $65$ times in $100$ trials?

Published on 16 May 2016 - 12:46

score 603 · Answer 5 · 2016-05-18 10:13:35

603

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Stuck on finding the term independent of $x$

Published on 18 May 2016 - 10:13

score 2.7k · Answer 6 · 2016-05-21 19:49:34

2.7k

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Prove that there is no term independent of $x$ in the binomial expansion of $\left(x-\frac 1x\right)^{19}$

Published on 21 May 2016 - 19:49

score 862 · Answer 7 · 2016-05-24 14:03:33

862

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Solve summation expression

Published on 24 May 2016 - 14:03

score 3.4k · Answer 8 · 2026-04-01 10:03:23

3.4k

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Find $k$ if given the constant term of a binomial expression?

Published on 01 Apr 2026 - 10:03

score 3k · Answer 9 · 2016-05-24 19:09:34

3k

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Best way to expand $(2+x-x^2)^6$

Published on 24 May 2016 - 19:09

score 300 · Answer 10 · 2026-03-31 07:01:44

300

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Binomial theorem estimate for very large samples

Published on 31 Mar 2026 - 7:01

score 6.9k · Answer 11 · 2016-05-25 20:50:23

6.9k

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Find the range of values of $x$ for which the binomial expansion of $\frac{3x-1}{(1-x)(2-3x)}$ is valid

Published on 25 May 2016 - 20:50

score 49 · Answer 12 · 2026-02-23 20:41:12

49

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Finding coefficient of $x^n$ in this series

Published on 23 Feb 2026 - 20:41

score 1.1k · Answer 13 · 2016-05-26 15:09:04

1.1k

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Why does the binomial theorem for negative numbers never terminate

Published on 26 May 2016 - 15:09

score 183 · Answer 14 · 2016-05-29 03:49:58

183

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Find $\sum\limits_{r=0}^n(-1)^r\binom{n}{r}^{-1}$ for $n$ even

Published on 29 May 2016 - 3:49

score 191 · Answer 15 · 2016-05-30 11:54:41

191

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Binomial expansion of $(1 - w z^{-1})^{-1}$ being $\sum_{l=0}^{\infty} w^l z^{-l}$

Published on 30 May 2016 - 11:54

List Question

Doubt in a derivation

Application of power series/ binomial theorem in inverse sampling

Let $(\sqrt{3} + \sqrt{2})^5 = a\sqrt{3} + b\sqrt{2}, a,b \in \mathbb Z$ Find $a+b$.

What is the probability of a biased coin flipping heads (probability of heads is $\frac 35$) exactly $65$ times in $100$ trials?

Stuck on finding the term independent of $x$

Prove that there is no term independent of $x$ in the binomial expansion of $\left(x-\frac 1x\right)^{19}$

Solve summation expression

Find $k$ if given the constant term of a binomial expression?

Best way to expand $(2+x-x^2)^6$

Binomial theorem estimate for very large samples

Find the range of values of $x$ for which the binomial expansion of $\frac{3x-1}{(1-x)(2-3x)}$ is valid

Finding coefficient of $x^n$ in this series

Why does the binomial theorem for negative numbers never terminate

Find $\sum\limits_{r=0}^n(-1)^r\binom{n}{r}^{-1}$ for $n$ even

Binomial expansion of $(1 - w z^{-1})^{-1}$ being $\sum_{l=0}^{\infty} w^l z^{-l}$

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