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ACT
ACT Math Section

Recursive Sequence Value Calculation

Very Hard Preparing For Higher Math Number And Quantity

Consider a sequence defined recursively by the following rules:
$$ a_1 = 2 $$
$$ a_{n} = 3a_{n-1} + 1 $$ for $n > 1$.
What is the value of $a_5$ in the sequence?

Hint

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