Home Competitions AIME 2008b Problem 6
The sequence { a n } \{a_n\} { a n } is defined by a 0 = 1 , a 1 = 1 , and a n = a n − 1 + a n − 1 2 a n − 2 for n ≥ 2. a_0 = 1,a_1 = 1, \text{ and } a_n = a_{n - 1} + \frac {a_{n - 1}^2}{a_{n - 2}}\text{ for }n\ge2. a 0 = 1 , a 1 = 1 , and a n = a n − 1 + a n − 2 a n − 1 2 for n ≥ 2. The sequence { b n } \{b_n\} { b n } is defined by b 0 = 1 , b 1 = 3 , and b n = b n − 1 + b n − 1 2 b n − 2 for n ≥ 2. b_0 = 1,b_1 = 3, \text{ and } b_n = b_{n - 1} + \frac {b_{n - 1}^2}{b_{n - 2}}\text{ for }n\ge2. b 0 = 1 , b 1 = 3 , and b n = b n − 1 + b n − 2 b n − 1 2 for n ≥ 2. Find b 32 a 32 \frac {b_{32}}{a_{32}} a 32 b 32 .
Dataset text AIME 1983 to 2026 . Quoted with source.
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