1993 UNCO Math Contest II Problems/Problem 8
Problem
For what integer value of is the expression equal to ? (Hint: )
Solution
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, = .
-xMidnightFirex
See also
1993 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |