Difference between revisions of "2017 UNCO Math Contest II Problems/Problem 10"
(→Problem) |
(→Solution) |
||
| Line 16: | Line 16: | ||
== Solution == | == Solution == | ||
| + | 2, 6, 10, 14… (& other possibilities) | ||
== See also == | == See also == | ||
Revision as of 04:12, 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 | ||
