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goldfiish [28.3K]
3 years ago
12

18,54, 162, ... Find the 8th term.

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0

Answer:

a₈ = 39366

Step-by-step explanation:

The terms have a common ratio between consecutive terms

r = 54 ÷ 18 = 162 ÷ 54 = 3

This indicates the sequence is geometric with nth term

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 18 and r = 3 , then

a₈ = 18 × 3^{7} = 18 × 2187 = 39366

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