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denpristay [2]
3 years ago
6

Find the explicit rule: 2, 6, 18, 54, 162

Mathematics
2 answers:
pav-90 [236]3 years ago
5 0

Answer:

f(n) = 2 × 3^{n-1}

Step-by-step explanation:

In order to write an explicit rule for a geometric function, you need to know the common ratio; you can find the common ratio by dividing two consecutive terms:

6 ÷ 2 = 3, 18 ÷ 6 = 3, 54 ÷ 18 = 3, etc..

Now you know the common ratio is 3. At this point you can write your explicit function following the rule f(n) = [1st term] × [common ratio]^(n-1):

f(n) = 2 × 3^(n-1)

faust18 [17]3 years ago
3 0
Multiply each number by 3.

2 (x 3) is 6. 6 x 3 is 18, 18 x 3 is 54, 54 x 3 is 162.

Hope this helps!
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