Question

The following is Algorithm 8 from §5.4. Note that it uses the following definition of the...

The following is Algorithm 8 from §5.4. Note that it uses the following definition of the fibonacci sequence: fn = fn−1 + fn−2, f1 = 1, f0 = 0.

procedure iterative fibonacci(n: nonnegative integer)

if n = 0 then return 0

else

x := 0 y := 1

for i := 1 to n − 1 do

z := x + y x := y y := z

end for

return y

end if

end procedure

Prove this algorithm is correct.

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