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
Posted: Mon Jul 11, 2022 12:50 pm
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}.
Prove that for all n∈N we have1+F_2+F_4+...+F_{2n}=F_{2n+1}.