A geometric sequence is when numbers in sequence have a common ratio. To solve this problem, we need for the geometric ratio for the sequence. Using the equation:
an=a1r^n-1
where is an is the number at an n term, r is the ratio and a1 is the first number of the sequence.
From the given numbers,
12 = a1 r^5
27 = a1r^7
From the equations above,
a1 = 128/81
r = 3/2
Therefore, the 7th term is:
an = (128/81) (3/2)^6
an = 18
