9) Binomial Expansion

Question 1

Write the format for how to expand a binomial expansion ?

Answer 1

Question 2

How else can n^Cvr be written ?

Answer 2

Question 3

What is 0! ?

Answer 3

1

Question 4

What is the equation for n^Cvr ?

Answer 4

n! / r!(n-r)!

Question 5

What is the equation for n^Cv0, n^Cv1, n^Cv2 ?

Answer 5

n^Cv0 = 1
n^Cv1 = n
n^Cv2 = n(n-1) / 2

Question 6

why would x = 2.3 be less accurate then x = 2.03 when doing approximations using binomial expansion ( only first there terms ) ?

Answer 6

• The approximation when using x = 2.03 will be more accurate, both on an absolute and on a relative basis
• The discarded terms reduce more rapidly, with high powers of x being less significant to the total

Question 7

What is the constant term of a binomial expansion ?

Answer 7

The term that is purely an integer