8. Use mathematical induction to prove that F4? = FmFn+1 Yn> 1, where Fn is the...

Question

Question

8. Use mathematical induction to prove that F4? = FmFn+1 Yn> 1, where Fn is the n-th Fibonacci number. k=1

Answer 1

Answer #1

8.) Background: Fibonacci number series sequence.is 1,1,2, 3, 5,......... here F, = 1, F = 1, F = 2 . where th=Fn- + Fr.2, 72

Now Assume E F = F F &nzi, be true, . L Now consider hent 2 . => L.H.SE F + F K n +1 - For (En tv) + Feate from eaque @ E Fnt

correct that oue asumption 3 4 -(FAME) is Hence by Mathematical Inducten we com say Fn Leon) #12)

Answer 2

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