## Intermediate Algebra for College Students (7th Edition)

$a_{12}=-10,240$
RECALL: The $n^{th}$ term ($a_n$) of a geometric sequence can be found using the formula: $a_n= a_1 \cdot r^{n-1}$ where $a_1$ = first term r = common ratio Use the formula above and the give values of the first term and the common ratio to obtain: $a_n=5 \cdot (-2)^{n-1} \\a_{12}=5 \cdot (-2)^{12-1} \\a_{12}=5 \cdot (-2)^{11} \\a_{12}=5 \cdot (-2048) \\a_{12}=-10,240$