Finite Geometric Series
Оценка 4.9

Finite Geometric Series

Оценка 4.9
pdf
13.05.2020
Finite Geometric Series
Finite Geometric Series.pdf

Kuta Software - Infinite Algebra 2

Finite Geometric Series

Evaluate the related series of each sequence.

1)  21272432

3)  −26−1854−162

Evaluate each geometric series described.

7

k − 1

5)  4

k = 1

9

i − 1

7)  2

i = 1

n − 1

9) 

n = 1

n − 1

n = 1


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Name___________________________________

Date________________  Period____

2)  −15−25125

4)  −2−12−72−432−2592

8

6)  Σ (−6)i − 1

i = 1

9

m − 1

8)  Σ −2

m = 1

n − 1

n  = 1

9

12)  Σ (−2)n − 1

n = 1

-1-

               13)  1 + 2 + 4 + 8...,  n = 6                                         14)  2 − 10 + 50 − 250...,  n = 8

               15)  1 − 4 + 16 − 64...,  n = 9                                   16)  −2 − 6 − 18 − 54...,  n = 9

               17)  1 − 5 + 25 − 125...,  n = 7                                 18)  −3 − 6 − 12 − 24...,  n = 9

               19)  a1 = 4an = 1024r = −2                                     20)  a1 = 4an = 8748r = 3

Determine the number of terms n in each geometric series.

21)  a = −2r = 5S = −62

                              1                                 n

23)  a = −3r = 4S = −4095

                              1                                 n

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

n

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22)  a1 = 3r = −3Sn = −60

24)  a1 = −3r = −2Sn = 63

n

m − 1

    26)  Σ −2 ⋅ 4     = −42

m = 1

-2-

Kuta Software - Infinite Algebra 2

Finite Geometric Series

Evaluate the related series of each sequence.

1)  21272432

518

3)  −26−1854−162

−122

Evaluate each geometric series described.

7

k − 1

5)  4

k = 1

5461

9

i − 1

7)  2

i = 1

511

n − 1

9) 

n = 1

−170

n − 1

n = 1

−59048


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Name___________________________________

Date________________  Period____

2)  −15−25125

104

4)  −2−12−72−432−2592

−3110

8

6)  Σ (−6)i − 1

i = 1

−239945

9

m − 1

8)  Σ −2

m  = 1

−511

n − 1

n   = 1

39364

9

12)  Σ (−2)n − 1

n = 1

171

-1-

13)  1 + 2 + 4 + 8...,  n = 6

63

15)  1 − 4 + 16 − 64...,  n = 9

52429

17)  1 − 5 + 25 − 125...,  n = 7

13021

19)  a1 = 4an = 1024r = −2

684

14)  2 − 10 + 50 − 250...,  n = 8

−130208

16)  −2 − 6 − 18 − 54...,  n = 9


−19682

18)  −3 − 6 − 12 − 24...,  n = 9

−1533

20)    a1 = 4an = 8748r = 3

13120


Determine the number of terms n in each geometric series.

21)    a = −2r = 5S = −62     22)  a = 3r = −3S = −60

                              1                                 n                                                                                                                             1                                 n

                             3                                                                                       4

                 23)  a = −3r = 4S = −4095                                      24)  a = −3r = −2S = 63

                              1                                 n                                                                                                                             1                                    n

                             6                                                                                       6

25)  −4 + 16 − 64 + 256...,  S = 52428 n 26)  Σ −2 ⋅ 4 = −42 n                   m − 1

m = 1

8

3

Create your own worksheets like this one with Infinite Algebra 2.  Free trial available at KutaSoftware.com

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Kuta Software - Infinite Algebra 2

Kuta Software - Infinite Algebra 2

Determine the number of terms n in each geometric series

Determine the number of terms n in each geometric series

S n = 63 n m − 1 26) Σ −2 ⋅ 4 = −42 m = 1 -2-

S n = 63 n m − 1 26) Σ −2 ⋅ 4 = −42 m = 1 -2-

Determine the number of terms n in each geometric series

Determine the number of terms n in each geometric series

S = −4095 24) a = −3 , r = −2 ,

S = −4095 24) a = −3 , r = −2 ,
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