Sum of Reciprocals of Sequence of Pairs of Odd Index Consecutive Fibonacci Numbers is Reciprocal of Golden Mean

Theorem
where:
 * $F_k$ denotes the $k$th Fibonacci number
 * $\phi$ denotes the golden mean.

Also see

 * Sum of Reciprocals of Sequence of Pairs of Even Index Consecutive Fibonacci Numbers is Reciprocal of Golden Mean Squared