MathDB
Number of Geese in a Flock

Source:

January 18, 2009

Problem Statement

The number of geese in a flock increases so that the difference between the populations in year n \plus{} 2 and year n n is directly proportional to the population in year n \plus{} 1. If the populations in the years 1994 1994, 1995 1995, and 1997 1997 were 39 39, 60 60, and 123 123, respectively, then the population in 1996 1996 was <spanclass=latexbold>(A)</span> 81<spanclass=latexbold>(B)</span> 84<spanclass=latexbold>(C)</span> 87<spanclass=latexbold>(D)</span> 90<spanclass=latexbold>(E)</span> 102 <span class='latex-bold'>(A)</span>\ 81\qquad <span class='latex-bold'>(B)</span>\ 84\qquad <span class='latex-bold'>(C)</span>\ 87\qquad <span class='latex-bold'>(D)</span>\ 90\qquad <span class='latex-bold'>(E)</span>\ 102