2013 UNCO Math Contest II Problems/Problem 8
Problem
EXAMPLE: The non-terminating periodic decimal has period three and is abbreviated by placing a bar over the shortest repeating block.
(a) If all digits through
are allowed, how many distinct periodic decimals
have period exactly six? Do not include patterns like
and
that have shorter periods.
(b) If only digits and
are allowed, how many distinct periodic decimals
have period exactly
?
Solution
(a) (b)
See Also
2013 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 |