Question

Find the real and imaginary part of z

score 1.5k · Answer 1 · 2017-08-08 21:11:12

1.5k

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Find the real and imaginary part of z

Published on 08 Aug 2017 - 21:11

score 91 · Answer 2 · 2017-08-09 09:43:51

91

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Compute this expression using the binomial theorem: $ \sum_{i=0}^{27} \binom{27}{i} (-3)^{2i+1}$

Published on 09 Aug 2017 - 9:43

score 232 · Answer 3 · 2017-08-10 03:36:10

232

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Double summation of binomial probabilities

Published on 10 Aug 2017 - 3:36

score 126 · Answer 4 · 2026-03-27 21:43:09

126

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Beta function related integral

Published on 27 Mar 2026 - 21:43

score 120 · Answer 5 · 2017-08-14 18:38:51

120

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Prove equation with binomial coefficient

Published on 14 Aug 2017 - 18:38

score 247 · Answer 6 · 2017-08-15 05:58:46

247

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How to prove that $\frac{\text{d}}{\text{d}x} x^n = nx^{n-1}$ without using the Binomial Theorem?

Published on 15 Aug 2017 - 5:58

score 213 · Answer 7 · 2017-08-17 10:31:04

213

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Simplifying $\sum_{i=1}^n \binom{d}{i}$ to avoid computing the entire summation

Published on 17 Aug 2017 - 10:31

score 66 · Answer 8 · 2017-08-17 22:57:17

66

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Does this sum to $2^n-1\ $?

Published on 17 Aug 2017 - 22:57

score 200 · Answer 9 · 2017-08-18 10:29:41

200

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How to evaluate $\binom{2}{2}\binom{10}{3} + \binom{3}{2}\binom{9}{3} + \binom{4}{2}\binom{8}{3} + \ldots + \binom{9}{2}\binom{3}{3}$

Published on 18 Aug 2017 - 10:29

score 338 · Answer 10 · 2017-08-18 20:32:09

338

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In the expansion of $(a+b+c)^{20}$, find the coefficient of $a^{17} b^2c$

Published on 18 Aug 2017 - 20:32

score 11.1k · Answer 11 · 2017-08-18 21:51:50

11.1k

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Finding the number of terms of binomial expansion $(1+x+x^2)^{20}$

Published on 18 Aug 2017 - 21:51

score 82 · Answer 12 · 2017-08-19 14:43:18

82

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Doubt based on finding the number of terms in binomial expansion $(a+b+c)^{20}$

Published on 19 Aug 2017 - 14:43

score 325 · Answer 13 · 2017-08-21 22:26:45

325

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Prove, by applying the Binomial Theorem to $(1+a_n)^n$, that $a_n\leq \sqrt{\frac{2}{n-1}}$

Published on 21 Aug 2017 - 22:26

score 1.9k · Answer 14 · 2017-08-23 08:07:46

1.9k

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How can the binomial theorem be proved?

Published on 23 Aug 2017 - 8:07

score 74 · Answer 15 · 2017-08-25 18:55:02

74

Views

Expansion and simplification of a function f(x) with a binomial of the form (${1-x^n}$)

Published on 25 Aug 2017 - 18:55

List Question

Find the real and imaginary part of z

Compute this expression using the binomial theorem: $ \sum_{i=0}^{27} \binom{27}{i} (-3)^{2i+1}$

Double summation of binomial probabilities

Beta function related integral

Prove equation with binomial coefficient

How to prove that $\frac{\text{d}}{\text{d}x} x^n = nx^{n-1}$ without using the Binomial Theorem?

Simplifying $\sum_{i=1}^n \binom{d}{i}$ to avoid computing the entire summation

Does this sum to $2^n-1\ $?

How to evaluate $\binom{2}{2}\binom{10}{3} + \binom{3}{2}\binom{9}{3} + \binom{4}{2}\binom{8}{3} + \ldots + \binom{9}{2}\binom{3}{3}$

In the expansion of $(a+b+c)^{20}$, find the coefficient of $a^{17} b^2c$

Finding the number of terms of binomial expansion $(1+x+x^2)^{20}$

Doubt based on finding the number of terms in binomial expansion $(a+b+c)^{20}$

Prove, by applying the Binomial Theorem to $(1+a_n)^n$, that $a_n\leq \sqrt{\frac{2}{n-1}}$

How can the binomial theorem be proved?

Expansion and simplification of a function f(x) with a binomial of the form (${1-x^n}$)

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