12500
1) Notice that we have a Geometric Sequence, whose ratio is 5.
2) So let us write a formula for this Geometric Sequence since we have the first term (4) and the ratio.
[tex]\begin{gathered} a_n=a_1\cdot q^{n-1} \\ a_6=4\cdot(5)^{6-1} \\ a_6=4\cdot(5)^5 \\ a_6=4\cdot3125 \\ a_6=12500 \end{gathered}[/tex]3) Hence, the 6th term is 12500
