Which of the following describes the growth behavior of a sequence an=c1(2)n+c2(0.5)na_n = c_1(2)^n + c_2(0.5)^nan=c1(2)n+c2(0.5)n as n→∞n \to \inftyn→∞?
The sequence approaches zero.
The sequence is dominated by the 2n2^n2n term and grows exponentially.
The sequence is dominated by the (0.5)n(0.5)^n(0.5)n term and shrinks.
The sequence becomes constant.