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Sever21 [200]
2 years ago
9

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

Mathematics
1 answer:
saveliy_v [14]2 years ago
5 0

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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