Deriving the closed-form \(a_n = \frac{5}{6}3^n - \frac{1}{2}\) for the recurrence \(a_{n+1}=3a_n+1\), then computing \(a_5=202\).
recurrence relation
closed form solution
linear recurrence
sequence computation
Closed-form and exact value for recurrence \(a_{n+1} = 3a_n+1\)
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