Difference between revisions of "2017 UNCO Math Contest II Problems/Problem 10"
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== Solution == | == Solution == | ||
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== See also == | == See also == |
Revision as of 03:12, 13 January 2019
Problem
Powerless Progressions
Find an infinite sequence of integers that has all of these properties:
(1) with c and d the same for all
(2) and are positive integers, and
(3) no number in the sequence is the power of any integer, for any power
Reminder: Justify answers. In particular, for maximum credit, make it clear in your presentation that your sequence possesses the third property.
Solution
2, 6, 10, 14… (& other possibilities)
See also
2017 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Problem 11 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |