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sergiy2304 [10]
3 years ago
15

To write the explicit rule, we need some information about the following series:

Mathematics
1 answer:
Maslowich3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Note the common ratio r between consecutive terms of the sequence

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

The explicit rule for a geometric sequence is

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} ← explicit rule

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