Determine Whether the Statement Is True or False $\frac { \mathrm { F } _ { \mathrm { n } } + 1 } { \mathrm {~F} _ { \mathrm { n } } }$

True/False

Determine whether the statement is true or false.
-The following quotient, where Fn represents the nth term of the Fibonacci sequence, approaches the golden ratio as n gets larger: $\frac { \mathrm { F } _ { \mathrm { n } } + 1 } { \mathrm {~F} _ { \mathrm { n } } }$