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We are told that on day 0 you can do 7 push-ups, so \(g(0) = 7\text{.}\) The number of push-ups you can do on day \(n+1\) is 2 more than the number you can do on day \(n\text{,}\) which is given by \(g(n)\text{.}\) Thus

\begin{equation*} g(0) = 7;~ g(n+1) = g(n) + 2\text{.} \end{equation*}
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