Дополнительные задании

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Kuta Software - Infinite Algebra 2

Introduction to Sequences

Find the next three terms in each sequence.

1)  1−39−2781, ...

3)  0381524, ...

5)  4163664100, ...

                                5    5    5     5

                       7)  5,  ,  ,  ,           , ...

                                2    4    8   16

Find the tenth term in each sequence.

                                   2    7         17

                     9)  −1,  ,  ,  4,         , ...

                                   3    3          3

11)  −2−6−18−54−162, ...

13)  −412−36108−324, ...

15)  −28172372572772, ...

Find the first four terms in each sequence.

2n + 1 17)  an = 3

n

19)  a = n2 + 1

n


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Name___________________________________

Date________________  Period____

2)  9109209309409, ...

            1    1    3    1     5

            4)  ,  ,  ,  ,             , ...

            2    2    8    4   32

6)  1434547494, ...

8)  −9101−99910001−99999, ...

10)  79121621, ...

12)  −23−18−13−8−3, ...

3

14)  −6−201,  , ...

2

16)  3746556473, ...

n − 1

18)  a = 3

n

3

20)     a = n n 2n + 1

-1-

Find the tenth term in each sequence.

2n + 1

21)     a =

                              n                    3

n

2

23)  a = (2n)

n

Find the first four terms in each sequence.

25)  a = a + 10 n             n − 1

a = 29

1

27)  a = a + n n                  n − 1

a = −4

1

Find the tenth term in each sequence.

29)  a = na

                              n                n − 1

a = −1

1

31)  a = a ⋅ 3

                              n            n − 1

a = −3

1

Write the explicit formula for each sequence.

33)  −12−9−6−30, ...

Write the recursive formula for each sequence.


35)  2471116, ...

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n − 1

22)     a = 4

n

2 24)  a = (2n − 1)

n

26)  an = an − 1 ⋅ 2 a = −1

1

2 + a

n − 1

28)  a =

                 n                    2

a = 10

1

30)  an = an − 1 + 10

a = 11

1

2 + a

n − 1

32)  a =

n                   2 a = −14

1

                                                3       6

   34)  −6−3−2−  −   , ...

                                                2       5

36)  15215415615815, ...

-2-

Kuta Software - Infinite Algebra 2

Introduction to Sequences

Find the next three terms in each sequence.

1)  1−39−2781, ...

−243729−2187

3)  0381524, ...

354863

5)  4163664100, ...

144196256

                                5    5    5     5

                       7)  5,  ,  ,  ,           , ...

                                2    4    8   16

                              5      5       5

                                   ,       , 

                             32    64   128

Find the tenth term in each sequence.

                                   2    7         17

                     9)  −1,  ,  ,  4,         , ...

                                   3    3          3

a = 14

10

11)  −2−6−18−54−162, ...

a = −39366

10

13)  −412−36108−324, ...

a = 78732

10

15)  −28172372572772, ...

a = 1772

10

Find the first four terms in each sequence.

                                     2n + 1        5     7      9

                 17)  an =      3           3,  ,        , 

                                          n              8    27   64

19)  a = n2 + 1

n

251017


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Name___________________________________

Date________________  Period____

2)  9109209309409, ...

509609709

            1    1    3    1     5

            4)  ,  ,  ,  ,             , ...

2         2 8          4          32

3         7 1          n

                      ,         ,       ;  Note: a =

                32    128    32               n         2n

6)  1434547494, ...

114134154

8)  −9101−99910001−99999, ...

1000001−9999999100000001

10)  79121621, ...

a = 61

10

12)  −23−18−13−8−3, ...

a = 22

10

3

14)  −6−201,  , ...

2

127 a =

                  10       64

16)  3746556473, ...

a = 118

10 n − 1

18)  a = 3

n

13927

20)  a =

n

3 n

2n + 1

1    8    27    64

,  ,            , 

3    5     7       9

-1-

Find the tenth term in each sequence.

2n + 1 21)  an = 3

n

21 a = 10

1000

2 23)  a = (2n)

n

a = 400

10

Find the first four terms in each sequence.

25)  an = an − 1 + 10

a = 29

1 29394959

27)  an = an − 1 + n

a = −4

1

−4−215

Find the tenth term in each sequence.

29)  an = nan − 1 a = −1

1

a = −3628800

10

31)  an = an − 1 ⋅ 3

a = −3

1

a = −59049

10

Write the explicit formula for each sequence.

33)  −12−9−6−30, ...

a = −15 + 3n

n

Write the recursive formula for each sequence.

35)  2471116, ...

           a = a     + n

              n            n − 1

a = 2

1

n − 1


22)  a = 4

n

a = 262144

10

2 24)  a = (2n − 1)

n

a = 361

10

26)  an = an − 1 ⋅ 2

a = −1

1

−1−2−4−8

2 + a

n − 1

28)  a =

n   2 a = 10

1

10643

30)  an = an − 1 + 10

a = 11

1

a = 101

10

2 + a

n − 1

32)  a =

             n                    2

a = −14

1

63 a = 10

32

                                           3       6                   6

34)  −6−3−2−   , ...  a = −

                                           2       5          n               n

36)  15215415615815, ...

a = a      + 200 n                    n − 1

a = 15

1


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