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Australian AMC 2021 - Intermediate Question 24

AMC AUSTRALIA · Australian AMC 2021 - Intermediate

Question 24

The product $\left(1-\frac1{2^2}\right)\left(1-\frac1{3^2}\right)\left(1-\frac1{4^2}\right)\cdots\left(1-\frac1{15^2}\right)$ is equal to
  1. $7/13$
  2. $8/15$
  3. $9/16$
  4. $10/21$
  5. $13/24$