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# Linear Recurrence Relations

Take your recursion skills to the next level. If you've got a recurrence relation but no computer, how can you find a closed form? What about asymptotic behavior? How fast do rabbits reproduce?

Let \( \{x_n\} \) be the sequence \( 1, 5, 9, 13, \ldots. \)

If \( \{x_n\} \) can be defined as the recurrence relation \[ x_7 = a, \quad x_{n+1} = x_n + b, \] find the value of \( a + b. \)

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