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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