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Please write down the details of each step, thanks 7. Given the following function: F(n) { if n = 1 or n=2 return 1 Else

image text in transcribedPlease write down the details of each step, thanks

7. Given the following function: F(n) { if n = 1 or n=2 return 1 Else Return F(n-1) + F(n-2) Prove by induction that for every integer n > 0 F() {{1+ V3}} The following fact might help writing the proof. The solutions (roots) to the quadratic equation 0 = ax? +bx+c (where a, b, are constants) are given by - b b2 - 4ac 11,2 =

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