Review Find the explicit formula for each arithmetic sequence.

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Presentation transcript:

Review Find the explicit formula for each arithmetic sequence. 1) a1 = 1 and a5 = 13 2) a3 = 13 and a7 = 29

Answers: 1) an = 3n - 2 2) an = 4n + 1

Key Concepts for Sect. 9.4 *A sequence is geometric if the ratios of consecutive terms are the same. geometric: 2, 4, 8, 16, 32,... 1, 3, 9, 27, 81,... not geometric: 5, 10, 15, 20, 25,... 1, 4, 9, 16, 25,...

Key Concepts for Sect. 9.4 *To find the explicit rule of a geometric sequence, use the formula below: an = a1 rn - 1

Guided Practice for Sect. 9.4 Ex 1: Find the explicit rule and the recursive rule for the geometric sequence. a) 5, -15, 45, -135,...

Ex 1: b) 81, 27, 9, 3,...

Guided Practice for Sect. 9.4 Ex 2: Find the explicit rule for the geometric sequence. a) a1 = 5, a3 = 45/4

Ex 2: b) a3 = 16/3, a5 = 64/27