Sequence and Series Exam Review Worksheet
Algebra 2
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Sequence and Series Exam Review Worksheet
Date________________
Determine the 52nd term and write an explicit formula for the nth term.
1) 27, -3, -33, -63, ...
2) -27, -127, -227, -327, ...
3) a = 40, d = -100 1
4) a = -32, d = 10 1
5) a = 53 and a = 85
17
33
Determine the 8th term and write an explicit formula for the nth term.
6) -1, -4, -16, -64, ...
7) 1, 2, 4, 8, ...
8) a = 4, r = 2 3
9) a = 216, r = -6 4
10) a = 625 and a = -125
5
4
-1-
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Worksheet by Kuta Software LLC
Evaluate the sum of each arithmetic or geometric series described.
11) a = -11, d = -2, n = 8 1
12) a = -10, d = -2, n = 10 1
13) 4 + 7 + 10 + 13..., n = 15
9
14) (3 - 10n)
n = 1
20
15) (10i - 9)
i = 1
16) a = -4, r = -2, n = 8 1
17) a = -4, r = 4, n = 7 1
18) -4 - 16 - 64 - 256..., n = 8
10
19) 4 2m - 1
m = 1
10
20) -2 4n - 1
n = 1
-2-
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Worksheet by Kuta Software LLC
Algebra 2
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Sequence and Series Exam Review Worksheet
Date________________
Determine the 52nd term and write an explicit formula for the nth term.
1) 27, -3, -33, -63, ...
2) -27, -127, -227, -327, ...
a = -1503 52
Explicit: a = 57 - 30n n
a = -5127 52
Explicit: a = 73 - 100n n
3) a = 40, d = -100 1
a = -5060 52
Explicit: a = 140 - 100n n
4) a = -32, d = 10 1
a = 478 52
Explicit: a = -42 + 10n n
5) a = 53 and a = 85
17
33
a = 123 52
Explicit: a = 19 + 2n n
Determine the 8th term and write an explicit formula for the nth term.
6) -1, -4, -16, -64, ...
7) 1, 2, 4, 8, ...
a = -16384 8
Explicit: a = -4n - 1 n
a = 128 8
Explicit: a = 2n - 1 n
8) a = 4, r = 2 3
a = 128 8
Explicit: a = 2n - 1 n
9) a = 216, r = -6 4
a = 279936 8
Explicit: a = -(-6)n - 1 n
10) a = 625 and a = -125
5
4
a = -78125 8
Explicit: a = (-5)n - 1 n
-1-
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Worksheet by Kuta Software LLC
Evaluate the sum of each arithmetic or geometric series described.
11) a = -11, d = -2, n = 8 1 -144
12) a = -10, d = -2, n = 10 1 -190
13) 4 + 7 + 10 + 13..., n = 15 375
9
14) (3 - 10n)
n = 1
-423
20
15) (10i - 9)
i = 1
1920
16) a = -4, r = -2, n = 8 1 340
17) a = -4, r = 4, n = 7 1 -21844
18) -4 - 16 - 64 - 256..., n = 8 -87380
10
19) 4 2m - 1
m = 1
4092
10
20) -2 4n - 1
n = 1
-699050
-2-
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Worksheet by Kuta Software LLC
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