### Home > PC3 > Chapter 12 > Lesson 12.2.1 > Problem12-98

12-98.

Write out the first four terms of each of the following sequences. Then evaluate $\lim\limits_ { n \rightarrow \infty } a _ { n }$.

1. $a_n =\frac { 2 - n } { 3 + n }$

$a_1=\frac{2-1}{3+1}=\:?$

$a_2=\frac{2-2}{3+2}=\:?$

$a_3=\frac{2-3}{3+3}=\: ?$

$a_4=\frac{2-4}{3+4}=\:?$

1. $a_n = \frac { ( - 2 ) ^ { n } } { 3 ^ { n } }$

$a_1=\frac{(-2)^1}{3^1}=\:?$

$a_2=\frac{(-2)^2}{3^2}=\:?$

$a_3=\frac{(-2)^3}{3^3}=\:?$

$a_4=\frac{(-2)^4}{3^4}=\:?$

1. $a_n = \frac { ( - 2 ) ^ { n } } { 2 ^ { n } }$

$a_1=\frac{(-2)^1}{2^1}=\:?$

$a_2=\frac{(-2)^2}{2^2}=\:?$

$a_3=\frac{(-2)^3}{2^3}=\:?$

$a_4=\frac{(-2)^4}{2^4}=\:?$