1993 UNCO Math Contest II Problems/Problem 8
For what integer value of is the expression equal to ? (Hint: )
Looking at the first fraction, we get that . Moving on, we see an interesting pattern in which the fraction . This means that we can rewrite the fractions as . We can cancel out most of the terms in that sequence and get . However, we need to solve for now. Setting the previous expression equal to , we get that . Squaring both sides, we get that . Hence, = .
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