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CCGPS Coordinate Algebra
Recursive Formulas
Name: ___________________
1. Find the first 5 terms determined by the following recursion formulas.
a) a1  3
an  an1  2
b)
c)
a1  3
d) a1  1
an  2an1  4
an  an1  2
e) a1  0
an  3an 1
a1  2
an  an1  5
f) a1  8
an  (1/ 2)an1
2. Find a recursive formula for each of the following sequences.
a) 5, 6, 7,8,...
c) 1, 4, 9, 14,...
b) 2, 8,32,128, 492,...
d) 36, 24,16,
CCGPS Coordinate Algebra
32 64
, ,...
3 9
Recursive Formulas
Name: ___________________
1. Find the first 5 terms determined by the following recursion formulas.
a) a1  3
an  an1  2
c)
d)
a1  3
d) a1  1
an  2an1  4
an  an1  2
e) a1  0
an  3an 1
a1  2
an  an1  5
f) a1  8
an  (1/ 2)an1
2. Find a recursive formula for each of the following sequences.
a) 5, 6, 7,8,...
c) 1, 4, 9, 14,...
b) 2, 8,32,128, 492,...
d) 36, 24,16,
32 64
, ,...
3 9
3. Given the explicit formula, write the recursive formula for the sequence.
a) an = 3n – 1
c) an = -5n + 2
b) an = 4(2)n-1
d) an = 8(1/2)n-1
3. Given the explicit formula, write the recursive formula for the sequence.
a) an = 3n – 1
c) an = -5n + 2
b) an = 4(2)n-1
d) an = 8(1/2)n-1
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