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pls, I need a helping hand for this:
Define the Lucas sequence by
L(1) = 1;L(2) = 3, and L(n) = L(n-1) + L(n - 2) for n > 2
Define the Fibonacci sequence by
F(0) = 1; F(1) = 1, and F(n) = F(n - 1) + F(n - 2) for n >= 2
Prove by induction that L(n) = F(n) + F(n - 2) for n >= 2.
Thank you