Chapter 8 - The Binomial Expansion Flashcards

1
Q

How is Pascal’s triangle formed?

A

It is formed by adding adjacent pairs of numbers to find the numbers on the next row.

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2
Q

What is the row of Pascal’s triangle that gives you the correct coefficients in the expansion of

(a + b)^n ?

A

It is the (n + 1)th row.

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3
Q

What is n! Equal to?

A
n x (n - 1) x (n - 2) x 
(n - 3) x ... x 1.
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4
Q

What are the two equations for factorial notation?

A

n
C = (n)
r (r)

Or

  n! ———— r! (n - r)!
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5
Q

What is the binomial expansion of

(a + b)^n

Like?

A

(n)(a)^n-r (b)^r

r

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