Chapter 8

Question 0

Find the nth term of a arithmetic sequence

Answer 0

An = A1+(n-1)d

A1 = 1st term
d = common difference

Question 1

Arithmetic sequence

Common difference?

Answer 1

a2-a1=d

a3-a2=d

Question 2

Fine the sum of a finite arithmetic sequence.

Answer 2

Sn = (n/2)(A1+An)

Question 3

For a Geometric sequence, find the common ratio.

Answer 3

A2/A1 = r
A3/A2 = r

r is the common ratio.

Question 4

Find the nth term of a geometric sequence.

Answer 4

An = A1r^(n-1)

Question 5

Find the sum of a finite geometric sequence. (For the nth term)

Answer 5

Sn = (A1(1-r^n))/(1-r)

Note if start at 0
A1 is the nth term of 0

Question 6

Binomial theorem
nCr is express as…
Also written as (n)
(r)

Answer 6

n!/((n-r)!r!)