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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 an1 2 b) c) a1 3 d) a1 1 an 2an1 4 an an1 2 e) a1 0 an 3an 1 a1 2 an an1 5 f) a1 8 an (1/ 2)an1 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 an1 2 c) d) a1 3 d) a1 1 an 2an1 4 an an1 2 e) a1 0 an 3an 1 a1 2 an an1 5 f) a1 8 an (1/ 2)an1 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