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Algebra 1 - MathnMind

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10-7<br />

NAME ______________________________________________ DATE ____________ PERIOD _____<br />

Practice<br />

Geometric Sequences<br />

Determine whether each sequence is geometric.<br />

1. 3, 12, 48, 192, … 2. 2, 17, 32, 47, …<br />

3. 200, 135, 70, 5, … 4. 220, 110, 55, 27.5, …<br />

5. 992, 248, 62, 15.5, … 6. 20, 50, 125, 312.5, …<br />

Find the next three terms in each geometric sequence.<br />

7. 4, 20, 100, 500, … 8. 7, 21, 63, 189, …<br />

9. 6250, 1250, 250, 50 … 10. 50, 70, 98, 137.2, …<br />

1 1 1 2<br />

11. 5, 4, 3.2, 2.56 … 12. , , , , …<br />

4 6 9 27<br />

Find the nth term of each geometric sequence.<br />

13. a 1 6, n 5, r 3 14. a 1 9, n 6, r 2 15. a 1 8, n 3, r 11<br />

16. a 1 50, n 7, r 3 17. a 1 5, n 3, r 1.5 18. a 1 7, n 5, r 0.5<br />

Find the geometric means in each sequence.<br />

19. 4, , 256 20. 8, , 392 21. 2, , 0.5<br />

3 3<br />

1 2<br />

22. 20, , 1.25 23. , , 24. , , <br />

4 64<br />

2 25<br />

MAGAZINE SUBSCRIPTIONS For Exercises 25 and 26, use the following information.<br />

The manager of a teen magazine wants to increase subscriptions by at least 6% each year<br />

for the next three years to keep the company operating at a profit. Subscriptions for 2003<br />

are 17,500.<br />

25. Determine the minimum number of subscriptions the sales team must sell for the years<br />

2004, 2005, and 2006.<br />

26. Suppose the manager wants to increase the subscriptions to 35,000. How long will it<br />

take to reach this goal if subscriptions increase at 6% per year?<br />

© Glencoe/McGraw-Hill 618 Glencoe <strong>Algebra</strong> 1

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