13 - Sequences And Series

Kuta Software - Infinite Precalculus

Name___________________________________

Sequences and Series

Date________________ Period____

Find the next three terms in each sequence. 1) , , , , , ...

2) , , , , , ...

Find the first four terms in each sequence. 3) an

n

5) anan a

4) an

 n

6) anan a

Find the tenth term in each sequence. 7) an

 n

8) anann a

Determine if each sequence converges or diverges. 9) , , , , , ...

11) an

 n

13) anan a

10) , , , , , ...

12) an()

14) an

n

an

 a

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Worksheet by Kuta Software LLC

Rewrite each series as a sum. 

15)

 (n ) 



16)

n



17)





m

m

 (n)

n



18)



a

a   a

Evaluate each series. 

19)

 (m)



20)

m



21)

 k

 k

n



22)

 (k)



24)

k



25)



n

 n

 (n)

n



23)

 n

n

n



26)

a  a

a

Rewrite each series using sigma notation. 27) 

    28)        

29)

                

30) 

31)

             

32) 

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Precalculus

Name___________________________________

Sequences and Series

Date________________ Period____

Find the next three terms in each sequence. 1) , , , , , ...

2) , , , , , ...

, , 

, , 

Find the first four terms in each sequence. 3) an

n

4) an

, , , 

5) anan a

 n

    ,  , ,     6) anan a

, , , 

, , , 

Find the tenth term in each sequence. 7) an

 n

a

8) anann a

 

a

Determine if each sequence converges or diverges. 9) , , , , , ...

10) , , , , , ...

Converges

11) an

 n

Diverges

12) an()

n

Diverges

Converges

13) anan a

14) an

an

 a

Diverges

Converges

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Worksheet by Kuta Software LLC

Rewrite each series as a sum. 

15)



 (n ) 

16)

n

 

17)



 



m

 (n)

n

18)

m



a

a   a

              

           Evaluate each series. 

19)



 (m)

20)

m

n

 

 

21)

 k



 k

22)







 (k)

24)

k

25)



n

n

n

 

 (n)

n



23)

 n

 

 n

26)

a  a

a

 

 

Rewrite each series using sigma notation. 

27) 

m



    28)        

m

29)

31)

                              





a

 k k





  k



30) 

 n

n

k



a a

32) 



a

a

Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com -2©V D2E0L1J6C PKfuqt\ap JSAoEfCt^wqaFrze[ jLMLXCS.g P EAjlOlX QrYiPgEhKtzsl CraeUs[eYrKvGeydD.` a yMOazdNef LwZiptzhs dIinVfOiznXiMtLeB jPBrkeWc[axlbc]u\lvuVsI.

Worksheet by Kuta Software LLC