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Kuta Software - Infinite Algebra 2

Finite Geometric Series

Evaluate the related series of each sequence. 1) 2, 12, 72, 432

Name___________________________________ Date________________ Period____

2) -1, 5, -25, 125

3) -2, 6, -18, 54, -162

4) -2, -12, -72, -432, -2592

Evaluate each geometric series described.

7

5) 4k - 1

k = 1

8

6) (-6)i - 1

i = 1

9

7) 2i - 1

i = 1

9

8)

-2m - 1

m = 1

8

9) 2 (-2)n - 1

n = 1

10

11) 4 (-3)n - 1

n = 1

9

10) 4 3n - 1

n = 1

9

12) (-2)n - 1

n = 1

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Worksheet by Kuta Software LLC

13) 1 + 2 + 4 + 8..., n = 6 15) 1 - 4 + 16 - 64..., n = 9 17) 1 - 5 + 25 - 125..., n = 7

14) 2 - 10 + 50 - 250..., n = 8 16) -2 - 6 - 18 - 54..., n = 9 18) -3 - 6 - 12 - 24..., n = 9

19) a = 4, a = 1024, r = -2

1

n

20) a = 4, a = 8748, r = 3

1

n

Determine the number of terms n in each geometric series.

21) a = -2, r = 5, S = -62

1

n

22) a = 3, r = -3, S = -60

1

n

23) a = -3, r = 4, S = -4095

1

n

24) a = -3, r = -2, S = 63

1

n

25) -4 + 16 - 64 + 256..., S = 52428 n

n

26) -2 4m - 1 = -42

m = 1

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Finite Geometric Series

Evaluate the related series of each sequence. 1) 2, 12, 72, 432

518

Name___________________________________ Date________________ Period____

2) -1, 5, -25, 125 104

3) -2, 6, -18, 54, -162 -122

4) -2, -12, -72, -432, -2592 -3110

Evaluate each geometric series described.

7

5) 4k - 1

k = 1

5461

8

6) (-6)i - 1

i = 1

-239945

9

7) 2i - 1

i = 1

511

9

8)

-2m - 1

m = 1

-511

8

9) 2 (-2)n - 1

n = 1

-170

10

11) 4 (-3)n - 1

n = 1

-59048

9

10) 4 3n - 1

n = 1

39364

9

12) (-2)n - 1

n = 1

171

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Worksheet by Kuta Software LLC

13) 1 + 2 + 4 + 8..., n = 6 63

15) 1 - 4 + 16 - 64..., n = 9 52429

17) 1 - 5 + 25 - 125..., n = 7 13021

14) 2 - 10 + 50 - 250..., n = 8 -130208

16) -2 - 6 - 18 - 54..., n = 9 -19682

18) -3 - 6 - 12 - 24..., n = 9 -1533

19) a = 4, a = 1024, r = -2

1

n

684

20) a = 4, a = 8748, r = 3

1

n

13120

Determine the number of terms n in each geometric series.

21) a = -2, r = 5, S = -62

1

n

3

22) a = 3, r = -3, S = -60

1

n

4

23) a = -3, r = 4, S = -4095

1

n

6

24) a = -3, r = -2, S = 63

1

n

6

25) -4 + 16 - 64 + 256..., S = 52428 n 8

n

26) -2 4m - 1 = -42

m = 1

3

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Worksheet by Kuta Software LLC

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