Q:

a free-falling object increases speed by a little over 22 miles per hour each second. The arithmetic sequence 22 44 66 ...., represents speed after each second, in miles per hour of a dropped object. How fast is a rock falling after 8 seconds if it is dropped over the side of the cliff?

Accepted Solution

A:
Answer:176 mph after 8 secondsStep-by-step explanation:This is an arithmetic sequence with common difference 22 mph and first term 22.  Thus, the nth term is a(n) = 22 + 22(n - 1).Thus, the 8th term is a(8) = 22 + 22(7) = 176 mph