Three sequences have leading asymptotic behaviors determined by their largest characteristic roots:\nSequence I: $a_n \sim 2 \cdot 1.4^n$\nSequence II: $b_n \sim 5 \cdot 1.2^n$\nSequence III: $c_n \sim 3 \cdot 1.4^n$\nFor large $n$, which sequences grow at the same exponential rate?