Sequences and Series Review Game
Math Analysis Honors
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Sequences and Series Review Game
Given two terms in an arithmetic sequence find the term named in the problem, the explicit formula, and the recursive formula.
1) a = 46 and a = 200
12
34
Find a 40
2) a = -152 and a = -342
17
36
Find a 39
Evaluate each arithmetic series described.
45
S 3) (9m - 18) m = 1
4) 17 + 24 + 31 + 38..., n = 17
Determine the number of terms n in each arithmetic series.
5) a = 30, d = 9, S = 12525
1
n
Find the 8th term, the explicit formula, and the recursive formula.
6) 4, -12, 36, -108, ...
Given a term in a geometric sequence and the common ratio find the explicit formula, recursive formula, and the 8th term.
7) a = -972, r = 3 6
Evaluate each geometric series described. 8) -2 - 10 - 50 - 250..., n = 9
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Worksheet by Kuta Software LLC
10
S 9) 4 ? (-3)i - 1 i = 1
Determine the number of terms n in each geometric series.
10) -4 + 12 - 36 + 108..., S = 6560 n
Determine if each geometric series converges or diverges.
11) 1 - 4 + 16 - 64...
12) -8 - 4 - 2 - 1...
Evaluate each infinite geometric series described.
S ( ) ?
1 n-1
13) -2 ?
n = 1
2
S ( ) ? 3
1 k-1
14)
?
k=1 2 4
Evaluate each series.
10
S 15) k(k - 1) k = 5
5
S 17) (300 - m2) m = 1
6
S 16) (50 - a2) a = 1
5
S 18) a(a - 2) a = 1
Determine the number of terms n in each arithmetic series.
n
S 19) (9i - 13) = 885 i = 1
Evaluate each infinite geometric series described.
?
S 20) -3.4 ? (-0.7)i - 1 i = 1
Worksheet by Kuta Software LLC
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Math Analysis Honors
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Sequences and Series Review Game
Given two terms in an arithmetic sequence find the term named in the problem, the explicit formula, and the recursive formula.
1) a = 46 and a = 200
12
34
Find a 40
a = 242 40
Explicit: a = -38 + 7n n
Recursive: a = a + 7
n
n - 1
a = -31 1
2) a = -152 and a = -342
17
36
Find a 39
a = -372 39
Explicit: a = 18 - 10n n
Recursive: a = a - 10
n
n - 1
a =8 1
Evaluate each arithmetic series described.
45
S 3) (9m - 18) m = 1
8505
4) 17 + 24 + 31 + 38..., n = 17 1241
Determine the number of terms n in each arithmetic series.
5) a = 30, d = 9, S = 12525
1
n
50
Given a term in a geometric sequence and the common ratio find the explicit formula, recursive formula, and the 8th term.
7) a = -972, r = 3 a = -8748
6
8
Explicit: a = -4 ? 3n - 1 n
Recursive: a = a ? 3
n
n - 1
a = -4 1
Evaluate each geometric series described.
8) -2 - 10 - 50 - 250..., n = 9
-976562
Find the 8th term, the explicit formula, and the recursive formula.
6) 4, -12, 36, -108, ... a = -8748 8
Explicit: a = 4 ? (-3)n - 1 n
Recursive: a = a ? -3
n
n - 1
a =4 1
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Worksheet by Kuta Software LLC
10
S 9) 4 ? (-3)i - 1 i = 1
-59048
Determine the number of terms n in each geometric series.
10) -4 + 12 - 36 + 108..., S = 6560 n 8
Determine if each geometric series converges or diverges.
11) 1 - 4 + 16 - 64...
12) -8 - 4 - 2 - 1...
Diverges
Converges
Evaluate each infinite geometric series described.
S ( ) ?
1 n-1
13) -2 ?
n = 1
2
-4
S ( ) ? 3
1 k-1
14)
?
k=1 2 4
2
Evaluate each series.
10
S 15) k(k - 1) k = 5
310
6
S 16) (50 - a2) a = 1
209
5
S 17) (300 - m2) m = 1
1445
5
S 18) a(a - 2) a = 1
25
Determine the number of terms n in each arithmetic series.
n
S 19) (9i - 13) = 885 i = 1
15
Evaluate each infinite geometric series described.
?
S 20) -3.4 ? (-0.7)i - 1 i = 1
-2
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Worksheet by Kuta Software LLC
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