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All scientists expect the population of penguins on the [#permalink]
09 Jul 2006, 01:30

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All scientists expect the population of penguins on the island of Zeeberg is expected to rise by from 50,000 today to 800,000 18 years from now. Scientist A holds that the population will follow an arithmetic progression, that is that the absolute increase in population from year to year will be constant. Scientist B says that it will follow a geometric progression, which is to say that the percentage increase in population from year to year will be constant. If the two scientists are asked to predict the population of penguins in 9 yearsâ€™ time, by how much will their predictions differ?

(A) 150,000 (B) 225,000 (C) 300,000 (D) 425,000 (E) none of these

I follow your methodology until calculating for GP
How does 16 ^ (8/17) become 16 ^ (1/2)
It must be my weakness with exponent properties coming through here...