Se quences Recursive Definition Ch. 13 (2). Warm Up Find the first 4 terms of the sequence. State whether it is arithmetic, geometric or neither. 1. 2.

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Presentation transcript:

Se quences Recursive Definition Ch. 13 (2)

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

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).

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

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

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 t 1 = 1t n = 2t n-1