Find all solutions of recurance relation
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Doing so is called solving a recurrence relation . Recall that the recurrence relation is a recursive definition without the initial conditions. For example, the recurrence relation for the Fibonacci sequence is Fn=Fn−1+Fn−2.
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So, try to find any solution of the form an = rn that satisfies the recurrence relation. = 0 (dividing both sides by rn-k) This equation is called the characteristic equation. Example: consider the characteristic equation r2 - 4r + 4 = 0. r2 - 4r + 4 = (r - 2)2 = 0 So, r=2.
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