2014 UNCO Math Contest II Problems/Problem 4
Revision as of 18:14, 19 October 2014 by Timneh (talk | contribs) (moved 2014 UNC Math Contest II Problems/Problem 4 to 2014 UNCO Math Contest II Problems/Problem 4: disambiguation of University of Northern Colorado with University of North Carolina)
Problem
On the first slate, the Queen’s jurors write the number . On the second slate they write the
numbers
and
. On the third slate the jurors write
, and
, and so on, writing
integers on
the
th slate.
(a) What is the largest number they write on the th slate?
(b) What is the sum of the numbers written on the th slate?
(c) What is the sum of the numbers written on the th slate?