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erik [133]
3 years ago
13

Write an equation for the sequence whose third item is 27 and each item is 5 more than the previous.

Mathematics
2 answers:
julsineya [31]3 years ago
6 0

9514 1404 393

Answer:

  an = 17 +5(n -1)

Step-by-step explanation:

The first term can be found by working backward from the third term:

  third term = 27

  second term = 22 . . . . subtract 5 from 3rd term

  first term = 17 . . . . . . . . subtract 5 from 2nd term

The generic term is given by the formula ...

  an = a1 + d(n -1) . . . . . a1 = first term; d = common difference

Here, we have a first term of 17 and a common difference of 5. So, the sequence terms are described by ...

  an = 17 +5(n -1)

mihalych1998 [28]3 years ago
5 0

Answer:

 an = 17 +5(n -1)

Step-by-step explanation:

Hope this helps!!

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A pan is heated to 393°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 6
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Answer:

The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

Step-by-step explanation:

The formula for D, the difference in temperature between the pan and the room after t minutes is:

D = 324\cdot e^{-0.05t}

Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:

D = 324\cdot e^{-0.05t}

    =324\times e^{-0.05\times 9}\\\\=206.59

Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:

D = P - R

206.59 = P - 69

P = 206.59 + 69

P = 275.59°F

Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

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