1. Warm Up Find the nth term of the sequence 3, 6, 9, 12, … (Hint: what is the pattern?) Find the 11 th term

2. Sequences Objectives Continued: Find the formula for the nth term of an arithmetic or a geometric sequence Find the formula for the nth term of an arithmetic or a geometric sequence

3. ArithmeticFormula: is the nth term is the nth term is the first term is the common difference Example:

4. GeometricFormula: is the nth term is the nth term is the first term is the common ratio Example:

5. Classwork/Homework 1. Given a n = -4n + 3, find the first 3 terms and the 8 th term. State the common difference. 2. Given a n = 3(2) n, find the first 5 terms. State the common ratio. 3. Find the formula for the nth term and find the 16th term. a)-5, -1, 3, 7, … b)9, 6, 3, 0, -3, … 4. Find the formula for the nth term and find the 4 th term. a)-12, 6, -3, 3/2, … b)1/3, 2/9, 4/27, 8/81, …. 5. The first 3 terms of a geometric sequence are -4, -1, -1/4. Find the 5 th term 6. Find the formula for the sequence 1, -1, 1, -1, 1, …