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The Fibonacci sequence is defined by 1=...

The Fibonacci sequence is defined by `1=a_1=a_2` and `a_n=a_(n-1)+a_(n-2),n >2`. Find `(a_(n+1))/(a_n),`for n = 1, 2, 3, 4, 5.

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To solve the problem, we need to find the ratio \( \frac{a_{n+1}}{a_n} \) for \( n = 1, 2, 3, 4, 5 \) in the Fibonacci sequence defined by \( a_1 = a_2 = 1 \) and \( a_n = a_{n-1} + a_{n-2} \) for \( n > 2 \). ### Step-by-Step Solution: 1. **Identify the Fibonacci Sequence:** - The first two terms are given: \[ a_1 = 1, \quad a_2 = 1 ...
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