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There are a few ways we might describe \(b_n\) in general. We could do so recursively as,

\begin{equation*} b_n = b_{n-1} + a_n\text{,} \end{equation*}

since the total number of push-ups done after \(n\) days will be the number done after \(n-1\) days, plus the number done on day \(n\text{.}\)

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