7.19 The student will represent, analyze, and generalize a variety of patterns, including arithmetic sequences and geometric sequences, with tables, graphs, rules, and words in order to investigate and describe functional relationships.

Summary

Any arithmetic sequence has this pattern
a, a+d, a+2d, a+3d, a+4d...
and so each term of the sequence can be expressed as:
Termn = a+(n-1)d.
This is a very useful formula.

Geometric Patterns

Other Web Sites

  • LearnAlberta Click on "Skip Intro". Click on "Lessons". Choose lesson 8 to watch interactive notes on patterns and functions.
  • ExploreLearning Teachers have to assign the Finding Patterns to their classes.
  • CIMT Click in Unit 7. Here are some notes with a lot of interactive practice problems.

Lesson 6-1: Patterns


An arithmetic series has first term a and common difference d.
Enter a value for a and a common difference then enter positive number for n (greater than 2) for the number of terms you wish to create.
An arithmetic series is a linear pattern and when graphed forms a straight line.

1. Create a arithmetic series that will generate the first 25 odd numbers.

2. Create a series with the largest number is the first term and then 10th term is negative.

3. Create a series that the common difference is a decimal value.

Enter a value for a :    Enter a value for d :    Enter a value for n :



To create another arithmetic series, enter new values for a, d, and n.