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) anan
a
4) an
n
6) anan
a
Find the tenth term in each sequence.
7) an
n
8) anann
a
Determine if each sequence converges or diverges.
9) , , , , , ...
11) an
n
13) anan
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
n
21)
k k
22)
(k)
(n)
n
23)
n
24)
n
k
n
25)
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) anan
a
n
, , ,
6) anan
a
, , ,
, , ,
Find the tenth term in each sequence.
7) an
n
a
8) anann
a
a
Determine if each sequence converges or diverges.
9) , , , , , ...
10) , , , , , ...
Converges
Diverges
n
12) an()
11) an
n
Diverges
Converges
13) anan
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)
n
n
17)
m
18)
m
a
a
a
Evaluate each series.
19) (m)
20)
m
n
21)
k k
22)
(n)
n
23)
n
(k)
24)
n
k
n
25)
n n
26)
a
a
a
Rewrite each series using sigma notation.
27)
m
28)
m
29)
31)
a
a a
k
k
k
30)
n
n
k
32)
a
a
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Worksheet by Kuta Software LLC