[tex]\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\:r=\frac{a_{n+1}}{a_n} [/tex]
[tex]\frac{36}{6}=6,\:\quad \frac{216}{36}=6,\:\quad \frac{1296}{216}=6,\:\quad \frac{7776}{1296}=6[/tex]
[tex]\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to} \ \textgreater \ r = 6[/tex]
There is a bit more to the answer but it just explains a bit more that this question does not ask for.
Hope this helps!
