Math Problem Statement
(1-1/(2^2))(1-1/(3^2))...(1-1/(100^2))=p/q
Solution
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Math Problem Analysis
Mathematical Concepts
Telescoping Products
Simplification
Difference of Squares
Formulas
1 - 1/n^2 = (n-1)(n+1)/n^2
Telescoping Product: \prod_{n=2}^{N} (1 - 1/n^2)
Theorems
Difference of Squares Theorem
Telescoping Product Theorem
Suitable Grade Level
Grades 9-12
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