## Thinking Mathematically (6th Edition)

$a_{8} = 0.1$
The nth term of a geometric sequence can be found using the formula: $a_n=a_1(r^{n-1})$ where r= common ratio $a_1$ = first term $a_n$ = nth term n = term number Substitute the given values of $a_1$, n, and $r$ to find: $a_{8}=1,000,000(0.1)^{8-1} \\a_{8}=1,000,000(0.1)^{7} \\a_{8}=1,000,000 \times 0.0000001 \\a_{8} = 0.1$