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. An introduction…
Arithmetic Series
SUM of Terms
Geometric Series
SUM of Terms
Arithmetic Sequences
Geometric Sequences
ADD
To get next term
MULTIPLY
To get next term

3. Arithmetic Sequences and Series

4. Find the next four terms of –9, -2, 5, …
Arithmetic Sequence
___ is the common difference (d)
Common Difference (d) – what we ADD to get next term
Find the next four terms: -3, -11, -19, __, __, __, __
What is the common difference?

5. Find the next four terms of 0, 7, 14, …
Find the next four terms of x, 2x, 3x, …
Find the next four terms of 5k, -k, -7k, …

6. Create an arithmetic sequence with at least 4 terms and d = -3

7. Vocabulary of Sequences (Universal)

8. Given an arithmetic sequence with

10. Try this one: __

11. __

12. __

13. Find two arithmetic means between –4 and 5
-4, ____, ____, 5
The two arithmetic means are __ and __, since –4, __, __, 5
forms an arithmetic sequence.

14. Find three arithmetic means between 1 and 4
1, ____, ____, ____, 4
The three arithmetic means are ___, ___, and ___
since 1, ___, ___, ___, 4 forms an arithmetic sequence.

15. Find n for the series in which__ __ __ __ __