1988 AHSME Problems/Problem 14
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Problem
For any real number a and positive integer k, define
What is
?
Solution
We expand both the numerator and the denominator.
Now, note that , , etc.; in essence, . We can then simplify the numerator and cancel like terms.
See also
1988 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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