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krok68 [10]
2 years ago
9

Use the formula an = aj(r)a- to write a formula for the geometric sequence below.

Mathematics
1 answer:
GREYUIT [131]2 years ago
8 0

Answer:

a_{n} = 3(2)^{n-1}

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2

This indicates the sequence is geometric with n th term

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 2 , thus

a_{n} = 3(2)^{n-1}

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