State whether the claim below is true, false, or nonsense, and give a $1-$sentence explanation:

$$If NFA N $=($Q$,\backslash$Sigma $,\backslash$delta $,$ s$,$ F$),$ string w in $\backslash$Sigma

n

$,$ and state sequence $($r$0,...,$ rn$)$ in Qn$+1$ are such that

r$0=$ s$,$ ri$+1$ in $\backslash$delta $($ri

$,$ yi$+1)$ for all i $=0,...,$ n$,$ and rn $6$ in F$,$ then w $6$ in L$($N$).$