Kuta Software - Infinite Algebra 2
Find the next three terms in each sequence.
1) 1, −3, 9, −27, 81, ...
3) 0, 3, 8, 15, 24, ...
5) 4, 16, 36, 64, 100, ...
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) −4, 12, −36, 108, −324, ...
15) −28, 172, 372, 572, 772, ...
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) 9, 109, 209, 309, 409, ...
1 1 3 1 5
4)
, , , , , ...
2 2 8 4 32
6) 14, 34, 54, 74, 94, ...
8) −9, 101, −999, 10001, −99999, ...
10) 7, 9, 12, 16, 21, ...
12) −23, −18, −13, −8, −3, ...
3
14) −6,
−2, 0,
1, , ...
2
16) 37, 46, 55, 64, 73, ...
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, −3, 0, ...
Write the recursive formula for each sequence.
35)
2, 4,
7, 11,
16, ...
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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) 15, 215, 415, 615, 815, ...
-2-
Kuta Software - Infinite Algebra 2
Find the next three terms in each sequence.
1) 1, −3, 9, −27, 81, ...
−243, 729, −2187
3) 0, 3, 8, 15, 24, ...
35, 48, 63
5) 4, 16, 36, 64, 100, ...
144, 196, 256
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) −4, 12, −36, 108, −324, ...
a = 78732
10
15) −28, 172, 372, 572, 772, ...
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
2, 5, 10, 17
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Name___________________________________
Date________________ Period____
2) 9, 109, 209, 309, 409, ...
509, 609, 709
1 1 3 1 5
4) , , , , ,
...
2 2 8 4 32
3 7 1 n
, , ; Note: a =
32 128 32 n 2n
6) 14, 34, 54, 74, 94, ...
114, 134, 154
8) −9, 101, −999, 10001, −99999, ...
1000001, −9999999, 100000001
10) 7, 9, 12, 16, 21, ...
a = 61
10
12) −23, −18, −13, −8, −3, ...
a = 22
10
3
14) −6,
−2,
0,
1,
, ...
2
127 a =
10 64
16) 37, 46, 55, 64, 73, ...
a = 118
10 n − 1
18) a = 3
n
1, 3, 9, 27
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 29, 39, 49, 59
27) an = an − 1 + n
a = −4
1
−4, −2, 1, 5
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, −3, 0, ...
a = −15 + 3n
n
Write the recursive formula for each sequence.
35) 2, 4, 7, 11, 16, ...
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
10, 6, 4, 3
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) 15, 215, 415, 615, 815, ...
a = a + 200 n n − 1
a = 15
1
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