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2014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 5

Revision as of 23:44, 7 November 2014 by Timneh (talk | contribs) (Created page with "== Problem == <math>5^n</math> is written on the blackboard. The sum of its digits is calculated. Then the sum of the digits of the result is calculated and so on until we have ...")
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Problem

$5^n$ is written on the blackboard. The sum of its digits is calculated. Then the sum of the digits of the result is calculated and so on until we have a single digit. If $n = 2014$, what is this digit?

Solution

See also

2014 UNM-PNM Contest II (Problems • Answer Key • Resources)
Preceded by
Problem 4 		Followed by
Problem 6
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNM-PNM Problems and Solutions
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