1. Arithmetic and Geometric
4/3
Arithmetic and Geometric
Sequences and Series
Objective: Students will be able to understand arithmetic series and sequence. Students will be able to understand geometric series and sequence.
EQ: How do I find a given term in an arithmetic or geometric sequence? How do I find the sum of an arithmetic or geometric series?

2. The 4th term of an arithmetic sequence is -9.
The 8th term is Find the first term and then 9th term.
____ ____ ____ ____ ____ ____ ____ ____ ____
1st th

3. Geometric Sequences and Series

4. Recall…
Arithmetic Series
SUM of Terms
Geometric Series
SUM of Terms
Arithmetic Sequences
Geometric Sequences
ADD
To get next term
MULTIPLY
To get next term

5. Vocabulary of Sequences (Universal)
sum of all terms of an infinite geometric sequence

6. Find the next three terms of 2, 3, 9/2, ___, ___, ___

7. And S9.

8. Find two geometric means between –2 and 54
-2, ____, ____, 54
The two geometric means are __ and ___, since –2, __, ___, 54
forms an geometric sequence

9. -3, ____, ____, ____

10. __ __ __ __ __

12. Insert one geometric mean between ¼ and 4