Question
What happens to the Fibonacci integers $u^{(k)}$ if we go "backward in time", i.e., for $k<0$ ? How is $u^{(-k)}$ related to $u^{(k)}$ ?
Step 1
The Fibonacci sequence is defined by the recurrence relation: \[ u^{(n)} = u^{(n-1)} + u^{(n-2)} \] with initial conditions \( u^{(0)} = 0 \) and \( u^{(1)} = 1 \). Show more…
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