1. Sequences
The values in the range are called the terms of the sequence.
Domain: …....n
Range: a1 a2 a3 a4….. an
A sequence can be specified by an equation or rule.

2. Find the first 5 Terms of the Sequence
an = 2n – 3
Find a1, a2, a3, a4, a5
a1 = -1 First Term
a2 = 1 Second Term
a3 = 3 Third Term
a4 = 5 Fourth Term
a5 = 7 Fifth Term

3. Find the first 5 Terms of the Sequence
an = n3 – 20
Find a1, a2, a3, a4, a5
a1 = First Term
a2 = Second Term
a3 = Third Term
a4 = Fourth Term
a5 = Fifth Term
-19
-12 7 44
105

4. Arithmetic Sequences will have a constant common difference.

5. Tell whether the sequence 2, 11, 20, 29, 38, … is arithmetic.
Yes because each common difference is 9.

6. Tell whether the sequence 4, 8, 16, 22, 32, … is arithmetic.
No because the difference is not constant.

7. Arithmetic
Sequences

8. Write the rule an = 2n + 1 Example: 3, 5, 7, 9, ... Distribute
backwards
an = 2n + 1

9. Write the rule
Example:
65, 60, 55, 50, ...
an = -5n + 70

10. Write the rule
Example:
2, 6, 10, 14, …
an = 4n – 2

11. What is the nth term? an= 7n – 2 a1 = 5 First Term a2 = 12 Second Term
a3 = 19 Third Term
a4 = 26 Fourth Term
an = nth Term
an= 7n – 2
What is the rule? an = ???

12. What is the 50th term? Example: 1, 5, 9, 13, ...
Substitute 50 in as an

13. What is the 18th term? Example: 100, 93, 86, 79...
Substitute 18 in as an

14. What is the 100th term? Example: 4, 9, 14, 19...
Substitute 100 in as an