Home > PC3 > Chapter 12 > Lesson 12.1.3 > Problem12-44

12-44.

Write the first three terms of each sequence and then evaluate $\lim\limits_ { n \rightarrow \infty } a _ { n }$.

1. $a_n = 6 · ( \frac { 1 } { 3 } ) ^ { n - 1 }$

$a_1=6\left(\frac{1}{3}\right)^{1-1}=6(1)=6$

1. $a_n = −2 · (1.1)^{n−1}$

$a_1=-2(1.1)^{1-1}=-2$