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1979 AMC 12 Question 14

AMC12 · 1979 AMC 12

Question 14

In a certain sequence of numbers, the first number is $1,$ and, for all $n\ge2,$ the product of the first $n$ numbers in the sequence is $n^2.$ The sum of the third and the fifth numbers in the sequence is
  1. $\frac{25}{9}$
  2. $\frac{31}{15}$
  3. $\frac{61}{16}$
  4. $\frac{576}{225}$
  5. $34$