1. Se quences Recursive Definition Ch. 13 (2)

2. Warm Up Find the first 4 terms of the sequence. State whether it is arithmetic, geometric or neither. 1. 2. 3.

3. Recursive Definition of a Sequence You must have 2 parts 1. An initial condition that tells where the sequence starts. 2. A recursive formula that tells how any term in the sequence is related to the preceding term(s).

4. Try This Find the 2 nd, 3 rd, and 4 th terms of the following sequences. 1. t 1 = 2t n = 3t n-1 2. t 1 = 1t n = t n-1 + n 3. t 1 = 20t n = t n-1 – 3

5. Try This Give a recursive formula for the following sequences. 1. 9, 13, 17, 21, …. 2. 1, 3, 7, 15, 31, 63, ….. 3. 1, 3, 6, 10, 15, 21, ….

6. Try This For each of the following: a. Give the first 4 terms b. What kind of sequence is it c. Find the explicit formula 1. t 1 = 3t n = t n-1 + 4 2. t 1 = 1t n = 2t n-1