Q3. Define the Fibonacci sequence by f = 1, f2 = 1, fn = fn-1 +...

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Q3. Define the Fibonacci sequence by f = 1, f2 = 1, fn = fn-1 + fn-2 for n 3. Prove by induction that ged(fn, fn+1)= 1 for n 1. Q3. Define the Fibonacci sequence by f = 1, f2 = 1, fn = fn-1 + fn-2 for n 3. Prove by induction that ged(fn, fn+1)= 1 for n 1.