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1997 AMC 12 Question 14

AMC12 · 1997 AMC 12

Question 14

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
  1. $81$
  2. $84$
  3. $87$
  4. $90$
  5. $102$