Answer:
a7 ≈ 1.068
Step-by-step explanation:
The given sequence has a common ratio, so is a geometric sequence. The formula for a generic term can be used to find the 7th term.
Sequence
The first term is 6. The common ratio is ...
r = (9/2)/6 = (27/8)/(9/2) = 3/4
The n-th term is ...
an = a1(r^(n-1))
Application
The 7th term is ...
a7 = 6(3/4)^(7-1) = 6(729/4096) = 2187/2048
a7 ≈ 1.068
