Iterative ProcessIterative Process

• A process of repeating the same A process of repeating the same procedure over and over again.procedure over and over again.

What is a FRACTAL?

A repeating pattern. – a, geometric figure that is generally created using an iterative process. They are made of SELF – SIMILAR shapes. As the shape becomes smaller, they keep the same geometric characteristics as the original shape.

Examples. Model plants, trees, economies, honeycomb pattern, vein pattern in a leaf

Algorithm a procedure or set of rules for solving a problem

Example. Develop an algorithm to sort the members of your class by height.

This process is an iterative process because it involves repeating the same set of steps throughout the algorithm.

→Arrow diagrams can be used to illustrate iterations. This shows the sequence of steps.→Tree Diagram – Each option creates a branchExample:How many different outcomes are there for a best of 7 series between the Toronto Raptors and the L.A. Lakers. Count up the number of outcomes when you finish the tree diagram.

Recursive Formula defines a sequence of numbers. Similar to sequences and series If tn = 3tn-1 - tn-2 and t1 = 1, t2 = 3, find the next 3

terms in the sequence.

Homework pg 10 # 1, 3, 4, 5, 9, 10