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
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Worksheet by Kuta Software LLC