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klio [65]
2 years ago
5

A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 2 of the

recall, the manufacturer fixed 192 cars. In week 4, manufacturer fixed 184 cars. Assume that the reduction in the number of cars each week is linear. Write an equation in function form to show the number of cars seen each week at the mechanic.
f(x) = 4x + 200
f(x) = 2x + 192
f(x) = −4x + 200
f(x) = −2x + 192
Mathematics
2 answers:
Levart [38]2 years ago
6 0

Answer:

the answer is f(x)=2x+192

Cerrena [4.2K]2 years ago
4 0

Answer:

The answer is F(x)=2x+192

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<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

Step-by-step explanation:

<u>Convergence of Infinite Series</u>

The series is given as the terms

1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...

For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.

Our series has two clearly different sequences, which define it as a piecewise general term:

If n is odd, then

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Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is

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If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.

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But it goes worse because of the limit of the second piece

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The answer is

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

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