The article:
"The Lucas numbers 1,3,4...are the sums of alternate Fibonacci numbers. The ratios of Lucas to Fibonacci must satisfy: $R_j = \frac{F_{i+1}+F_{i-1}}{F_i}=\frac{2F_{i+1}}{F_i-1}$
I know that Fibonacci numbers and Lucas are the same except their starting values.
Can someone show how the ratio between the two equal the given condition that was set for $R_j$