The first three terms of a sequence are given. Round to the nearest thousandth (if
1 answer:
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
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