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THANK YOUUUU SO MUCH YOU ARE VERY APPRECIATED :))) <3!!!!

THANK YOUUUU SO MUCH YOU ARE VERY APPRECIATED :))) <3!!!!-example-1
User Ibmkhd
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4 votes

Answer:

304 feet

Explanation:

You want to know the number of feet a skydiver falls in the 10th second, given that she falls 16, 48, and 80 feet in seconds 1, 2, and 3, respectively.

Sequence

The distance fallen in second n is expressed by the sequence ...

16, 48, 80, ...

The first term, a1, is 16. The common difference, d, is 48-16 = 32. This arithmetic sequence can be described by the explicit formula ...

an = a1 +d(n -1)

an = 16 +32(n -1) = 32n -16

10th second

The distance fallen in the 10th second is then ...

a10 = 32·10 -16 = 320 -16 = 304

She falls 304 feet in the tenth second.

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Additional comment

The total distance fallen at the end of t seconds is ...

f(t) = 16t²

Then the distance fallen in the 10th second is ...

f(10) -f(9) = 16(10² -9²) = 16(19) = 304

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User Harborhoffer
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