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 |