10 articles trouvés pour ce sujet.
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(2018^2019)-(2019^2018) |
2019-01-23 |
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Nazrul pose la question :
Find the remainder when (2018^2019)-(2019^2018) is divided by 4? Please show me the process.
Harley Weston lui répond. |
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A binomial expansion |
2019-01-05 |
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shifali pose la question :
if the binomial expansion of (m-nx)^3 is 1+9x+-- find the values of m & n
Penny Nom lui répond. |
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The binomial theorem |
2010-01-21 |
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Laura pose la question :
Using the fact that (1 + x)^4 * (1 + x)^9 = (1 + x)^13 show (4C0 * 9C4 + 4C1*9C3 + 4C2*9C2 + 4C3*9C1 + 4C4*9C0) = 13C4
Harley Weston lui répond. |
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nC0 + nC1 + nC2 + ... + nCn = 2^n |
2009-06-15 |
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Chinonyerem pose la question :
For n >= 1, derive the identity
nC0 + nC1 + nC2 + ... + nCn = 2^n
[Hint: Let a = b = 1 in the binomial theorem]
Penny Nom lui répond. |
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Square roots in a binomial expansion |
2006-09-11 |
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Sydney pose la question :
(√x + 5)4 expanded using the binomial theorem
Penny Nom lui répond. |
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What are the 3rd and 4th terms of (2x-y)^7? |
2006-06-18 |
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April pose la question :
What are the 3rd and 4th terms of this sequence: (2x-y)7?
I'm having an issue with this...is there any easier way to get it without completely factoring the whoooole thing out?
Penny Nom lui répond. |
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Newton's binomial theorem |
2003-08-30 |
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William pose la question :
According to page 126 of Murtha & Willard's "Statistics and Calculus" (Prentice-Hall, 1973), Newton's binomial theorem can proved inductively. I suppose that was his method, which I would like to see.
Penny Nom lui répond. |
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Rolling 5 sevens before rolling a six or an eight |
2002-01-20 |
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Tony pose la question :
When rolling 2 dice, what is the probability of rolling 5 sevens before rolling a six or an eight?
Andrei Volodin and Penny Nom lui répond. |
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Multinomial theorem |
2001-11-28 |
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Murray pose la question :
Could you please state and explain the multinomial theorem (I already know the binomial theorem etc, to give you an idea of where i am)
Harley Weston lui répond. |
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The Binomial Theorem for rational exponents |
1999-04-15 |
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Angela Evans pose la question :
The full question is this: Isaac Newton generalized the Binomial Theorem to rational exponents. That is, he derived series of expansions for such expressions as (x+y)-3 (x+y)2/3 (x+y)5/6 What did Newton find? What are the first four terms of the series expansions of binomials above? How can this extended Binomial Thrm. be used to aid in calculations?
Penny Nom lui répond. |
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