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Let U1 =1, U2=1 and U(n+2)=U(n+1)+Un for...

Let `U_1 =1, U_2=1` and `U_(n+2)=U_(n+1)+U_n` for `nge1`. Use Mathematical Induction to show that: `U_n= 1/sqrt5[((1+sqrt5)/2)^n-((1-sqrt5)/2)^n]` for all `n ge1`.

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