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Recursive sequence
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Define the sequence recursively using function notation.30,40,50,60,70...
A(n)=A(n−1)+10 , n≥2
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d(1)=1, d(n)=n x d(n-1) for n≥2. Write the first three terms of each sequence. Determine whether each sequence is arithmetic geometric or neither.
1,2,6,24,120... neither
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c(1)=3,c(n)=10 x c(n-1) for n≥2. Write the first three terms of each sequence. Determine whether each sequence is arithmetic geometric or neither.
3,30,300,3000,30000 geometric
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Define the sequence recursively using function notation.2,4,8,16,32...
C(n)=C(n−1)⋅2 , n≥2
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Use the first 5 terms of each sequence to state if the sequence is arithmetic, geometric, or neither. C: 1, 2, 4, 8, 16, 32, . . .
Geometric r=2
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Define the sequence recursively using function notation. 3,9,27,81...
B(n)=B(n−1)⋅3 , n≥2
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Use the first 5 terms of each sequence to state if the sequence is arithmetic, geometric, or neither.D: 1,1/2,1/4,1/8,1/16, . . .
Geometric r=1/2
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Define the sequence recursively using function notation.20,13,6,-1,-8...
E(n)=E(n−1)−7, n≥2
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Define the sequence recursively using function notation. 1,12,144,1728...
D(n)=D(n−1)⋅12, n≥2
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Define the sequence recursively using function notation. 2,3,5,9,17...
F(n)=F(n−1)⋅2-1, n≥2
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Use the first 5 terms of each sequence to state if the sequence is arithmetic, geometric, or neither.F: 1, 3, 7, 15, 31, . . .
Neither
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b(1)=2, b(n)=2 x b(n-1)-1 for n≥2. Write the first three terms of each sequence. Determine whether each sequence is arithmetic geometric or neither.
2,3,5,9,17... neither
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Write the first three terms of each sequence. Determine whether each sequence is arithmetic geometric or neither. a(1)=7,a(n)=a(n-1)-3 for n≥2.
7,4,1,-2,-5 arithmetic
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Use the first 5 terms of each sequence to state if the sequence is arithmetic, geometric, or neither. E: 20, 13, 6, -1, -8, . . .
Arithmetic d=-7
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Use the first 5 terms of each sequence to state if the sequence is arithmetic, geometric, or neither. A: 30, 40, 50, 60, 70, . . .
Arithmetic, d=10
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Use the first 5 terms of each sequence to state if the sequence is arithmetic, geometric, or neither. B: 80, 40, 20, 10, 5, 2.5, . . .
Geometric r=1/2
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