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Write an equation for the nth tern of each geometric sequence NAME DATE PERIOD Practice Geometric Sequences Find the first five 



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NAMEDATEPERIOD

Skills Practice

Geometric Sequences

Find the next two terms of each geometric sequence. 1. -i, -2, -4, ...2. 6, 3, 7' "'"

3. -5, -15, -45, ...4.729, 243,81,...

5.1536,384,96,...6.64,160,400,...

Find the first five terms of each geometric sequence described. 7. a

1--6,r--28. a1= -27, r--3

9. a 1=

15, r= 1lO. al =3, r=4

11ll.a~ = 1, r=~12. a1=216,r= ~

Find the indicated term of each geometric sequence. 13. a l=5,r~2,n=614. a1= 18, r=3, n=6 16. a

1=-20,r=-2,n

=9 18. a 7 for 80,

80 803' 9'"'

Write an equation for the nth term of each geometric sequence.

19. 3, 9,

27, ...20. -1, -3, -9, ...

21. 2, 6, 18, ...22.5,10,20,...

Find the geometric meansineach sequence.

23.4, .~, .~

,6424.1, .~, ?~, ? ,81

© Glencoe/McGraw-Hill645Glencoe Algebra 2

NAME

Practice

Geometric Sequences

Find the next two terms of each geometric sequence. DATE

1. -15,-30,-60,...

3. 90, 30, 10, ...

1 3 95.4' 8' 16' "'"

2.80,40,20,...

4. 1458,486,-162,...

6.216,144,96,...

Find the first five terms of each geometric sequence described. 7. a 1=

1, r= 3 8. a

1=7,r=-4

PERIOD

19. a1 = -~,r = 2210. a1= 12, r=~

Find the indicated term of each geometric sequence. ll. al = 5, r =

3, n - 6

13. a 1 -4, r = -2, n - 10

15. a~2for 96,48,24,...

117. al = -3125, r = -~,n = 9

12. a 1 = 20, r = -3, n = 6

14. asfor

1 1 1250' 50' 10'"'

16. a~=8, r= ½, n=9 O

118. al = 3, r = ~, n = 8

Write an equation for the nth term of each geometric sequence.

19. 1, 4, 16, ...

23. 7, -14, 28, ...

20.-1,-5, 25,...

22. -3,-6,-12,...

24. -5,-30,-180,...

Find the geometric meansineach sequence.

25.3,.~7, .~7 , .~7 ,76826.5, ?~,.~ 7 , .~? ,1280

27.144, .~, ? , .~ ,928.37,500, ?~, ?~,~_ ~, .~ ,-12

29.BIOLOGY A culture initially contains 200 bacteria. If the number of bacteria doubles

every 2 hours, how many bacteria will be in the culture at the end of 12 hours?

30.LIGHT If each foot of water in a lake screens out 60% of the light above, what percent of

the light passes through 5 feet of water?

31.INVESTING Raul invests $1000 in a savings account that earns 5% interest compounded

annually. How much money will he have in the account at the end of 5 years?

© Glencoe/McGraw-Hill646Glencoe Algebra 2

11-3 Skills Practice

2 g~ ~ Geometric Sequences

1.-t, 2, 4 ....~.~,a~,... ~ ~:

PERIOD

Find the first five terns of each geometric sequence described.

7. a] =6, r=28. al= 27, r=3

Find the indicated tern of each geometric sequence. 13. a 1 = 5, r = 2, n = 6 ~:14. a1 = 18~r =3~n = 6~

15, al=

3, r=

2, n=5

17. a 8for

12, 6, 3,... ._

Write an equation for the nth tern

of each geometric sequence.

NAMEDATEPERIOD

Practice

Geometric Sequences

Find the first five

terms of each geometric sequence described. Find the indicated term of each geometric sequence. ll.a~=5, r=3, n=612. a1 =20, r= 3, n=6 13. a 1 = 4, r = 2, n = 10.as or ~, ~0' 10'""

15. a12 for 96, 48, 24, ...

-16. a1 = 8, r = ~, lz = 9 / W~ite an equation for the nth term of each geometric sequence.

19.1,4,16,... ~ = 20.-1, 5, 25,... =

21.1,½,¼,... f =22. 3,6, 12,...=

23. 7, 14, 28, ...=24. 5,30, 180, ...

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