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Brums [2.3K]
3 years ago
11

What value, written as a decimal, should Lena use as the common ratio?

Mathematics
1 answer:
inn [45]3 years ago
7 0

Answer:

an=1*2.5^(n-1)

=2.5^(n-1)

Step-by-step explanation:

Complete question below:

What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

Solution

Point (1, 1), (2, 2.5), (3, 6.25).

a=1

ar=2.5

ar^2=6.25

From ar and ar^2

r=6.25/2.5

=2.5

r=2.5

an=ar^(n-1)

Therefore, the explicit formula is

an=1*2.5^(n-1)

=2.5^(n-1)

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In the question ,

it is given that

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The given question is incomplete , the complete question is

A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting the data, it was determined that the average bowling league consists of a one-time registration fee and a monthly fee modeled by the equation y = 12x + 30.

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(b) The slope is 30. Starting at $12, the cost will decrease by $30 per month.

(c) The slope is 12. Starting at $30, the cost will increase by $12 per month.

(d) The slope is 12. Starting at $30, the cost will decrease by $12 per month.

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