For n ≥ 2, let S_n denote the set of all subsets of {1,2, …, n} with no two consecutive numbers. For example {1,3,5} ∈ S_6, but {1,2,4} ∉ S_6. Then…

For $\displaystyle n \geq 2$, let $\displaystyle S_n$ denote the set of all subsets of $\displaystyle \{1,2, \ldots, n\}$ with no two consecutive numbers. For example $\displaystyle \{1,3,5\} \in S_6$, but $\displaystyle \{1,2,4\} \notin S_6$. Then $\displaystyle n\left(S_5\right)$ is equal to $\displaystyle \_\_\_\_$