2014 UNCO Math Contest II Problems/Problem 4
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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?