Sequences and Series Date Period re.com
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)
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?
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
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Worksheet by Kuta Software LLC
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