Question

Help using binomial theorem to prove the following

score 162 · Answer 1 · 2016-11-11 04:34:37

162

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Help using binomial theorem to prove the following

Published on 11 Nov 2016 - 4:34

score 2.1k · Answer 2 · 2016-11-12 06:37:57

2.1k

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How to find the coefficient of $x^{98}$ in $(x-1)(x-2)(x-3).....(x-100)$

Published on 12 Nov 2016 - 6:37

score 249 · Answer 3 · 2016-11-12 20:17:27

249

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By using calculus on $(1+x)^n$ and setting x equal to some appropriate number, evaluate:

Published on 12 Nov 2016 - 20:17

score 1.1k · Answer 4 · 2016-11-15 22:54:22

1.1k

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Harmonic series and the binomial theorem

Published on 15 Nov 2016 - 22:54

score 119 · Answer 5 · 2016-11-16 16:37:19

proving $ a^{8} - 1 = \left(a^{2} - 1\right)\left(a^{2} + 1\right) \left(a^{2}+\sqrt{\,2\,}a+1\right) \left(a^{2} - \,\sqrt{\,2\,}\,a +1\right) $

score 92 · Answer 6 · 2016-11-19 06:59:18

92

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Finding the derivative of $e^{x}$ with by taking the limit of e and the derivative in the same limit; done before?

Published on 19 Nov 2016 - 6:59

score 76 · Answer 7 · 2026-03-31 07:57:45

76

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Factorial equality $\ \frac{1\cdot3\cdot5\cdots(2k-1)}{2^k2!}$ $\ = \frac{(2k)!}{2^k2^kk!k!}$

Published on 31 Mar 2026 - 7:57

score 149 · Answer 8 · 2016-11-24 09:44:34

149

Views

Solve following summation using Binomial theorem

Published on 24 Nov 2016 - 9:44

score 90 · Answer 9 · 2016-11-28 14:24:53

90

Views

How to obtain the binomial expansion of $\sqrt[4]{1+x}+\sqrt[4]{1-x} $ up to the term containing $x^2 $?

Published on 28 Nov 2016 - 14:24

score 94 · Answer 10 · 2016-11-30 12:10:13

94

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Binomial theorem coefficient question

Published on 30 Nov 2016 - 12:10

score 151 · Answer 11 · 2016-12-01 11:14:29

151

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the induction step for proving the binomial theorem.

Published on 01 Dec 2016 - 11:14

score 319 · Answer 12 · 2016-12-03 06:57:59

319

Views

Divisibility of $\binom{74}{37} -2$ where $\binom{74}{37}$ is a central binomial coefficient

Published on 03 Dec 2016 - 6:57

score 838 · Answer 13 · 2026-02-23 02:38:27

838

Views

Remainder when $2^{108}$ is divided by $11$?

Published on 23 Feb 2026 - 2:38

score 42 · Answer 14 · 2016-12-03 15:24:45

42

Views

Binomial Expansion help needed with example

Published on 03 Dec 2016 - 15:24

score 813 · Answer 15 · 2026-02-23 10:00:57

813

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Combination of negative term in negative Binomial expression.

Published on 23 Feb 2026 - 10:00

List Question

Help using binomial theorem to prove the following

How to find the coefficient of $x^{98}$ in $(x-1)(x-2)(x-3).....(x-100)$

By using calculus on $(1+x)^n$ and setting x equal to some appropriate number, evaluate:

Harmonic series and the binomial theorem

proving $ a^{8} - 1 = \left(a^{2} - 1\right)\left(a^{2} + 1\right) \left(a^{2}+\sqrt{\,2\,}a+1\right) \left(a^{2} - \,\sqrt{\,2\,}\,a +1\right) $

Finding the derivative of $e^{x}$ with by taking the limit of e and the derivative in the same limit; done before?

Factorial equality $\ \frac{1\cdot3\cdot5\cdots(2k-1)}{2^k2!}$ $\ = \frac{(2k)!}{2^k2^kk!k!}$

Solve following summation using Binomial theorem

How to obtain the binomial expansion of $\sqrt[4]{1+x}+\sqrt[4]{1-x} $ up to the term containing $x^2 $?

Binomial theorem coefficient question

the induction step for proving the binomial theorem.

Divisibility of $\binom{74}{37} -2$ where $\binom{74}{37}$ is a central binomial coefficient

Remainder when $2^{108}$ is divided by $11$?

Binomial Expansion help needed with example

Combination of negative term in negative Binomial expression.

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