Recall that the Fibonacci numbers are defined as follows:

F_{1} = 1

F_{2} = 1

F_{n} = F_{n-1} + F_{n-2} for n > 2

For a given positive integer n, what is the volume of the tetrahedron
which has vertices (F_{n}, F_{n+1}, F_{n+2}),
(F_{n+1}, F_{n+2}, F_{n+3}),
(F_{n+2}, F_{n+3}, F_{n+4}) and
(F_{n+3}, F_{n+4}, F_{n+5})?