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Colt1911 [192]
3 years ago
10

Write an equation for the nth term of the geometric sequence 5,20,80,320...

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0
5,20,80,320

Your input appears to be an geometric series.

Find the ratio (r) between adjacent members<span><span>a2/a1=20/5=4</span><span>a3/a2=80/20=4</span><span>a4/a3=320/80=4</span></span>

The ration (r) between every two adjacent members of the series is constant and equal to 4

<span>General Form: an=a1×rn-1</span><span>This geometric series: an=5×4<span>n-1</span></span>
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Answer to the 1st question: 8 years

Answer to the 2nd question: The year 2022

=======================================================

Further explanation:

x = number of years after 2008

y = average price of a new car

The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.

The y intercept is b = 30100 as this is the price in 2008.

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Plug in x = 0 and you should get y = 30100.

Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.

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This means 14 years after the year 2008 is when the average new car price will be $47,600.

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Therefore, <u>8 years</u> after 2014 (aka the <u>the year 2022</u>) is when the new car average price will be $47,600.

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Step-by-step explanation:

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