Ch.8 The binomial expansion

Question 1

how is pascal’s triangle formed?

Answer 1

each number is the sum of the two above and the top number is 1

Question 2

what does 8! mean?

Answer 2

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Question 3

how can you use your calculator to quickly go through pascal’s triangle?

Answer 3

by using the n choose r button that looks like nCr

nCr = (n / r ) = n! ÷ (r!( n - r ))

Question 4

what does n∈N mean?

Answer 4

n is a natural number which means it is any positive integer

Question 5

what is the general term in the expansion of ( a + b )ⁿ ?

Answer 5

(ⁿCr) aⁿ⁻ʳbʳ