Find the 7th term of the geometric sequence beginning with 6, 9, 27/2, …

First term, $a_1 = 6$

Common ratio, $r = 9/6 = 1.5$
 

$a_n = a_1 r^{n - 1}$

$a_7 = a_1 r^{7 - 1}$

$a_7 = 6(1.5^6)$

$a_7 = 2187/32$