Model unit-cost depreciation with a recurrence relation
A construction site's mobile crane costs $23,252 new, and its value depreciates by $249 for every 1,000 hours run
Let \(V_n\) be the value of the crane, in dollars, after \(n\) blocks of use, where each index step covers 1,000 hours
\[V_0 = \$23{,}252\]
\[V_{n+1} = V_n - \$249\]