## jmartinez638 one year ago Geometric sequence with 12 as its second term, and 324 as its fifth. What is the third term?

1. anonymous

$a,ar,ar^2,ar^3,ar^4$

2. anonymous

$ar=12$ and $ar^4=324$ divide to solve for $$r$$

3. anonymous

if that is not clear, divide means $\frac{ar^4}{ar}=r^3=\frac{324}{12}=27$ telling you that $r^3=27$

4. jmartinez638

That makes sense. Thanks!

5. anonymous

yw hope you got that $$r=3$$ and the third term is $12\times 3$