Chapter 13 Sequences and Recursive Definitions

Sequences

A sequence is simply a list of numbers.

There are two main types of sequences:
Arithmetic - where you add or subtract
Geometric - where you multiply
(*Note: division is considered Geometric. For example: If a sequence divides by three, it is considered to be multiplied by one-third.

Formulas to find a term:

Arithmetic

tn-t'+(n-1)d

n=term #

t'=first term

d=what you add

tn=term#_in sequence

Geometric

tn=t'∙r^(n-1)

r= what you multiply by

Recursive Definitions

A recursive Definition is a formula for a sequence that involves a previous term. [a(n-1)]

an= (an-1/3)