Investigating the properties of the Fibonacci numbers.F_1=1,F_2=1, and F_n=F_{n−1}+F_{n−2} for n≥3.
Prove that for all n∈N we have1+F_2+F_4+...+F_{2n}=F_{2n+1}.
Investigating the properties of the Fibonacci numbers. F_1=1,F_2=1, and F_n=F_{n−1}+F_{n−2} for n≥3. Prove that for all
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