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Main Ideas/Questions Notes/Examples Geometric Sequence Common Ratio Examples Directions: Determine whether the sequence is geometric. If yes, identify the common ratio and give the next three terms. 1. { } 6, 12, 24, 48,... 2. { } 810, 270, 90, 30, ... 3. { } 2, 10, 50, 250,... − − 4. { } 4, 8, 20, 60, ... 5. 1 1 4, 1, , ,... 4 16 − − 6. { } 2, 4, 16, 256, ... 7. { } 2, 14, 98, 686, ... − − − − 8. { } 3.2, 8, 20, 50, ... Geometric Sequence Formula The n th term of any geometric sequence can be found using the formula: where a1 is the ____________________________ and r is the ________________________________________ Examples Directions: Write a rule for each sequence, then find 6 . a 9. { } 1, 5, 25, 125, ... 10. { } 130, 65, 32.5, 16.25, ... Name: ____________________________________________________ Class: ________________________________ Date: ________________________________ Topic: ____________________________________________________ © Gina Wilson (All Things Algebra), 2016 AFM Name: Unit 5 Day 3 Notes: Geometric Sequence Date: A sequence in which the ratio between any two terms is constant. The numerical ratio between any two terms. (Variable: r)
