Answer

It’s seen that, the initial term is \[\left( a \right)\text{ }=\text{ }1\]

What’s more, typical ratio \[\left( r \right)\text{ }=\text{ }\surd 3/1\text{ }=\text{ }\surd 3\]

We realize that, the overall term is

\[{{t}_{n}}~=\text{ }a{{r}^{n\text{ }\text{ }1}}\]

So,

\[{{t}_{7}}~=\text{ }\left( 1 \right){{\left( \surd 3 \right)}^{7\text{ }\text{ }1}}~=\text{ }{{\left( \surd 3 \right)}^{6~}}=\text{ }27\]