Question

Find the b and power value in the binomial with the given expansion of the first 3 terms

score 388 · Answer 1 · 2018-04-18 23:36:29

388

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Find the b and power value in the binomial with the given expansion of the first 3 terms

Published on 18 Apr 2018 - 23:36

score 141 · Answer 2 · 2026-03-25 13:04:59

141

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Is $(ab+1)^{a^n}-1$ always divisible by $a^{n+1}b$?

Published on 25 Mar 2026 - 13:04

score 1.4k · Answer 3 · 2026-03-25 09:48:17

1.4k

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how to compute Z^n?

Published on 25 Mar 2026 - 9:48

score 1.5k · Answer 4 · 2018-04-21 04:54:24

1.5k

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Pairs of non-empty disjoint sets

Published on 21 Apr 2018 - 4:54

score 9.5k · Answer 5 · 2018-04-26 05:45:02

9.5k

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Binomial formula for matrices

Published on 26 Apr 2018 - 5:45

score 688 · Answer 6 · 2018-04-26 15:40:11

when (1+bx)^5 is expanded the coefficient of x is equal to the coefficient of x^2. Find the value of b when b is not equal to zero

score 1.3k · Answer 7 · 2018-04-26 16:18:21

1.3k

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Find the term independent of $x$ in the expansion of $(x^{2}+4/x)^{6}$

Published on 26 Apr 2018 - 16:18

score 78 · Answer 8 · 2018-04-28 09:30:16

78

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A problem on Binomial Theorem

Published on 28 Apr 2018 - 9:30

score 3.6k · Answer 9 · 2018-04-28 16:56:51

3.6k

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Prove that: $ \sum_{r=0}^n (-1)^r (^nCr_) \frac{1 + r\log_e10}{(1 + log_e10^n)^r} = 0 $

Published on 28 Apr 2018 - 16:56

score 60 · Answer 10 · 2026-03-23 20:26:52

60

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Simplify $1 - \sum_{k=0}^{n} {n \choose k} q_{1}^{k}(1-q_{1})^{n-k} \log(1+e^{2\beta(n-k)})$

Published on 23 Mar 2026 - 20:26

score 198 · Answer 11 · 2018-05-03 01:49:50

198

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Probability of drawing 'm' same colored marbles out of 'k' boxes

Published on 03 May 2018 - 1:49

score 295 · Answer 12 · 2026-03-25 07:45:35

295

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Show that $\sum\limits_{n=0}^{\infty} \binom{3n}{n} (\frac{4}{125})^n=\frac{1}{2\pi i}\int_{C(0;1)}\frac{-125}{(z-4)(4z^2+28z-1)}dz$

Published on 25 Mar 2026 - 7:45

score 131 · Answer 13 · 2026-03-15 06:36:49

131

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Can a negative power for a binomial expansion be taken as the same expression in the denominator with a positive power?

Published on 15 Mar 2026 - 6:36

score 111 · Answer 14 · 2026-03-15 04:36:14

111

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Why is this result using binomial coefficients true?

Published on 15 Mar 2026 - 4:36

score 4k · Answer 15 · 2018-05-09 07:44:56

4k

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Is there a formula for $(x+y+z)^n$?

Published on 09 May 2018 - 7:44

List Question

Find the b and power value in the binomial with the given expansion of the first 3 terms

Is $(ab+1)^{a^n}-1$ always divisible by $a^{n+1}b$?

how to compute Z^n?

Pairs of non-empty disjoint sets

Binomial formula for matrices

when (1+bx)^5 is expanded the coefficient of x is equal to the coefficient of x^2. Find the value of b when b is not equal to zero

Find the term independent of $x$ in the expansion of $(x^{2}+4/x)^{6}$

A problem on Binomial Theorem

Prove that: $ \sum_{r=0}^n (-1)^r (^nCr_) \frac{1 + r\log_e10}{(1 + log_e10^n)^r} = 0 $

Simplify $1 - \sum_{k=0}^{n} {n \choose k} q_{1}^{k}(1-q_{1})^{n-k} \log(1+e^{2\beta(n-k)})$

Probability of drawing 'm' same colored marbles out of 'k' boxes

Show that $\sum\limits_{n=0}^{\infty} \binom{3n}{n} (\frac{4}{125})^n=\frac{1}{2\pi i}\int_{C(0;1)}\frac{-125}{(z-4)(4z^2+28z-1)}dz$

Can a negative power for a binomial expansion be taken as the same expression in the denominator with a positive power?

Why is this result using binomial coefficients true?

Is there a formula for $(x+y+z)^n$?

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