5. Let an, n 1, be the Fibonacci sequence, defined by aa2 = 1, an...

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5. Let an, n ≥ 1, be the Fibonacci sequence, defined by a₁a2 = 1, an = an-1 + an-2. Show by induction that k Σ(-1)"an = (-1)ak-1 - 1. n=1 5. Let an, n ≥ 1, be the Fibonacci sequence, defined by a₁a2 = 1, an = an-1 + an-2. Show by induction that k Σ(-1)"an = (-1)ak-1 - 1. n=1

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