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Problem 17 (1998 AJHSME)

AJHSMENormal

From module Geometric Sequences

Problem

Problems 15, 16, and 17 all refer to the following:

In the very center of the Irenic Sea lie the beautiful Nisos Isles. In 19981998 the number of people on these islands is only 200200, but the population triples every 2525 years. Queen Irene has decreed that there must be at least 1.51.5 square miles for every person living in the Isles. The total area of the Nisos Isles is 24,90024,900 square miles.

In how many years, approximately, from 19981998 will the population of Nisos be as much as Queen Irene has proclaimed that the islands can support?

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