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thanks for this problem (7 points) Prove the following identity by induction: K Fn-k + k Fn = k Fn-k-1+ + K Fn-2k Use the

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(7 points) Prove the following identity by induction: K Fn-k + k Fn = k Fn-k-1+ + K Fn-2k Use the above identity to prove: Fan - 0) Fo + (7 Fit ( 2 ) Fat ... + n Fn Fanti - (0) Fit ( ") Fit ( 2 ) Fs t ... + Ent1

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