1. 5-10 Arithmetic and Geometric Sequences
Agenda:
Check Homework
Bellringer: Divide.
24÷−2
−55÷−5
9÷−81
5-10 Notes

2. Today I will learn to… Find the terms of arithmetic sequences.
Find the terms of geometric sequences.

3. Vocabulary… A sequence is an ordered list of numbers.
There will be two specific types we will look at.
Arithmetic Sequence: a sequence in which the difference between any two consecutive terms is the same.
Geometric Sequence: a sequence in which the quotient of any two consecutive numbers is the same.

4. Arithmetic Sequence
20, 30, 40, 50, 60, …
Term:
Common Difference:

5. 8, 5, −1, −4, … Yes? Common Difference: Next three terms:
State whether the sequence is arithmetic. If so, write the common difference and the next three terms.
8, 5, −1, −4, …
Yes?
Common Difference:
Next three terms:

6. 1, 2, 4, 7, 11, … Yes? Common Difference: Next three terms:
State whether the sequence is arithmetic. If so, write the common difference and the next three terms.
1, 2, 4, 7, 11, …
Yes?
Common Difference:
Next three terms:

7. Geometric Sequence
−2, 6, −18, 54, …
Common ratio:
Next Three Terms:

8. 20, 10, 5, 5 2 , 5 4 , … Yes? Common ratio: Next Three Terms:
State whether the sequence is geometric. If so, write the common difference and the next three terms.
20, 10, 5, 5 2 , 5 4 , …
Yes?
Common ratio:
Next Three Terms:

9. ICA 5-10 Skills Practice

10. Homework: Correct Pre-Test on another sheet of paper
Homework: Correct Pre-Test on another sheet of paper. Did you learn a lot? 