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Algebra II Exercises: Writing a Rule When You Are Only Given a Geometric Sequence


Question Group #1
Directions and/or Common Information: 
Use an = a1rn-1 to write a rule for the following series.


2, 6, 18, 54, 162…
1. 





4, 6, 9, 13.5, 20.25…
2. 





0.5, -1, 2, -1, 8…
3. 





40, 14.8, 5.476, 2.02612…
4. 





40, -14.8, 5.476, -2.02612…
5. 




Question Group #2
Directions and/or Common Information: Find the given term for each series


a1 = 2, a5 = 162, a6 = -486, a7 = 1458, a8 = -4374
Find a3
1. 





(3/8), (3/40), (3/200), (3/1000), 6 × 10-4
Find a10
2. 





160, 6.4, 1.28, 0.256… Find a8
3. 





2, 10, 50, 250, 1250… Find a10
4. 





0.3, 1.8, 10.8, 64.8, 388.8… Find a14
5. 








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