1. Arithmetic Sequence
A sequence of terms that have a common difference (d) between them

2. Arithmetic or Not?
Example:
-22, -15, -8, -1, …
Arithmetic
d = 7

3. Arithmetic or Not?
Example:
1, 8, 27, 64,
Not Arithmetic

4. Arithmetic or Not?
Example:
7, 4, 1, -2, -5
Arithmetic
d = -3

5. Arithmetic or Not?
Example:
Not Arithmetic

6. Recursive Formula
Formula used to find the next term of the sequence

7. Recursive Formula for Arithmetic Sequence

8. Find the common difference, the recursive formula, and the fifth term.
3, 9, 15, 21, …

9. Find the common difference, the recursive formula, and the fifth term.
5, 11, 17, 23 …

10. Use the recursive formula to find the 6th term of the sequence.

11. Use the recursive formula to find the 1st term and the 10th term of the sequence.

12. Explicit (Closed Formula)
Formula used to find the nth term of a sequence

13. Explicit (Closed) Formula for Arithmetic Sequence

14. Find the common difference, the explicit formula, and the tenth term.
3, 9, 15, 21, …
d =
an =
a10 =

15. Find the common difference, the explicit formula, and the 25th term.
10, 8, 6, …
d =
an =
a25 =