Let
[tex]a1=5 \\ a2=10\\ a3=30\\ a4=60\\ a5=180[/tex]
we know that
[tex]\frac{a2}{a1} = (10/5)=2 \\ a2= a1*2[/tex]
[tex]\frac{a3}{a2} = (30/10)=3 \\ a3= a2*3[/tex]
[tex]\frac{a4}{a3} = (60/30)=2 \\ a4= a3*2[/tex]
[tex]\frac{a5}{a4} = (180/60)=3 \\ a5= a4*3[/tex]
The pattern is times two then times three then times two then times three
so
the sixth term will be
[tex]a6=a5*2[/tex]
[tex]a6=180*2=360[/tex]
therefore
the answer is
[tex]360[/tex]
