1. 62 – Arithmetic and Geometric Sequences Calculator Required
Sequences and Series Investigations
62 – Arithmetic and Geometric Sequences Calculator Required

2. An introduction…………
Arithmetic Sequences
Geometric Sequences
ADD
To get next term
MULTIPLY
To get next term
Let’s focus on arithmetic sequences first.

3. What is added to get the next term is called the common difference (d)
Arithmetic Sequences
What is added to get the next term is called the common difference (d)
ADD
To get next term
d = 3
d = –8
d = 0.4
d = 3
Note: The common difference is what is added to get the next term….even if negative.

4. Find the next four terms of –9, –2, 5, …
Arithmetic Sequence
Next four terms……
5 + 7 = 12
= 19
= 26
= 33

5. 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, -31k

6. Vocabulary of Arithmetic Sequences
(also universal)

7. Given an arithmetic sequence withx 38 15 -3
x = 80

8. 1.5 x 16
0.5

9. 9
633 x 24
x = 27

10. -6 29 20 x

11. Vocabulary of Sequences (Geometric)

13. x 9

14. -3, ____, ____, ____

15. x 9

16. x 5