1997 AHSME Problems/Problem 14

Problem

The number of geese in a flock increases so that the difference between the populations in year $n+2$ and year $n$ is directly proportional to the population in year $n+1$ . If the populations in the years $1994$ , $1995$ , and $1997$ were $39$ , $60$ , and $123$ , respectively, then the population in $1996$ was

$\textbf{(A)}\ 81\qquad\textbf{(B)}\ 84\qquad\textbf{(C)}\ 87\qquad\textbf{(D)}\ 90\qquad\textbf{(E)}\ 102$

1997 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 13	Followed by Problem 15
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1997 AHSME Problems/Problem 14

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