9.1 Sequences

A sequence is an order list of numbers. They are natural numbers.

Equations:

1. Recursive Formula: Next Term = Current Term + the change

2. Explicit Formula: Nth term = n

Ex. 1) 3, 7, 11, 15, ____, _____, ...


Recursive Formula For Example: In the Recursive Formula, there is two parts of the equations that have to be together in order for it to work.









Explicit Formula:

• The equation f(x)= 4x-1 looks very similar to the explicit formula for the example.


• The domain differs in the two formulas though.


• f(x)= 4x-1 is a line when graphed, where the explicit formula is a series of dots on the graph.