Anthony who is 5 feet tall stands 20 feet from a lamppost and casts a shadow that is 10 feet long. If he moves 5 feet closer to
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The sequence is geometric, so
for some constant r. From this rule, it follows that
and we can determine the first term to be
Now, by substitution we have
and so on down to (D)
(notice how the exponent on r and the subscript on a add up to n)