Afree-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?

176 mph after 8 seconds

Step-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

Step-by-step explanation:

Givens

After 8 seconds refers to the term number eight in the sequence, where the increasing difference is 22 miles per hour. So, the sequence until the second 8 is

Therefore, in the second number 8, the speed is 176 miles per hour, becuase it increases 22 miles per hour each second.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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