2. ADD To get next term Have a common difference Arithmetic Sequences Geometric Sequences MULTIPLY to get next term Have a common ratio

3. In a geometric sequence, the ratio of any term to the previous term is constant. You keep multiplying by the SAME number each time to get the sequence. This same number is called the common ratio and is denoted by r To find r you divide a term by the previous term

4. No common ratio! Geometric Sequence

5. To write a rule for the nth term of a geometric sequence, use the formula:

6. Write a rule for the nth term of the sequence 6, 24, 96, 384,.... Then find This is the general rule. It’s a formula to use to find any term of this sequence. To find, plug 7 in for n.

7. Write a rule for the nth term of the sequence 1, 6, 36, 216, 1296,.... Then find This is the general rule. It’s a formula to use to find any term of this sequence. To find, plug 8 in for n.

8. Write a rule for the nth term of the sequence 7, 14, 28, 56, 112,.... Then find a n = 7(2) n-1 a 10 = 7(2) 10-1 = 3584

9. One term of a geometric sequence is The common ratio is r = 3. Write a rule for the nth term.

10. Let’s graph the sequence we just did. Create a table of values. What kind of function is this? What is a? What is b? Domain, Input, X Range, Output, Y Why do we pick all positive whole numbers?