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.
<h3>Sequence</h3>
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))
<h3>Application</h3>
The 7th term is ...
a7 = 6(3/4)^(7-1) = 6(729/4096) = 2187/2048
a7 ≈ 1.068
B, C and D are exponential decay.
Half-lives are given by exponential function, and since they are decreasing, it is decay.
With the teams being eliminated, this is decay.
Bacteria can be represented by exponential functions, and it is decreasing.
