## College Algebra (6th Edition)

$46875$
First, we must determine the common ratio between the terms: $r=\frac{15}{3}=\frac{75}{15}=\frac{375}{75}=5$ For solving this, we will use the formula for the $nth$ term of the geometric series. $a_{n}=a_{1}\times r^{n-1}$. Then put correct value for $7th$ term to solve. $a_{7}=3 \times (5)^{7-1}=46875$