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A sequence is defined as follows : a(...

A sequence is defined as follows :
`a_(1)=3, a_(n)=2a_(n-1)+1`, where `n gt 1`. Where `n gt 1`. Find `(a_(n+1))/(a_(n))` for n = 1, 2, 3.

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AI Generated Solution

To solve the problem, we need to find the values of \( a_n \) for \( n = 1, 2, 3 \) using the recursive formula provided, and then calculate \( \frac{a_{n+1}}{a_n} \) for \( n = 1, 2, 3 \). ### Step 1: Calculate \( a_1 \) Given: \[ a_1 = 3 \] ...
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