1. 12.2 – Arithmetic Sequences and 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. Find the next four terms of –9, -2, 5, …
Arithmetic Sequence
7 is referred to as the common difference (d)
Common Difference (d) – what we ADD to get next term
Next four terms……12, 19, 26, 33

4. Find the next four terms of 0, 7, 14, …
Arithmetic Sequence, d = 7
21, 28, 35, 42
Find the next four terms of x, 2x, 3x, …
Arithmetic Sequence, d = x
4x, 5x, 6x, 7x
Find the next four terms of 5k, -k, -7k, …
Arithmetic Sequence, d = -6k
-13k, -19k, -25k, -32k

5. Vocabulary of Sequences (Universal)

6. Given an arithmetic sequence withx 38 15 NA -3
X = 80

7. Try this one:
1.5 16 x NA
0.5

8. 9 x
633 NA 24
X = 27

9. -6 29 20 NA x

10. Find n for the series in which5 y x
440 3
Graph on positive window
X = 16

11. -19
353 ?? 63 x 6