1992 AHSME Problems/Problem 18
Revision as of 02:02, 20 February 2018 by Hapaxoromenon (talk | contribs) (Added a solution with explanation)
Problem
The increasing sequence of positive integers has the property that
If , then is
Solution
Let , so . Now and are divisible by , so is divisible by 8, so is divisible by 8. It's now easy to try the multiples of to get that (all the other possibilities violate the condition , which comes from the fact that the sequence is increasing). Hence .
See also
1992 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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