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4. Write down the sequence of the first twenty Fibonacci numbers and discover a relation between gcd (Fm, Fn) and Fgcd (m,n). Verify it

4. Write down the sequence of the first twenty Fibonacci numbers and discover a relation between gcd (Fm, Fn) and Fgcd (m,n). Verify it for any eight (m, n) pairs. Show your work in detail.

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