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2014 UNCO Math Contest II Problems/Problem 4

Revision as of 15:45, 19 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == On the first slate, the Queen’s jurors write the number <math>1</math>. On the second slate they write the numbers <math>2</math> and <math>3</math>. On the thir...")
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Problem

On the first slate, the Queen’s jurors write the number $1$. On the second slate they write the numbers $2$ and $3$. On the third slate the jurors write $4, 5$, and $6$, and so on, writing $n$ integers on the $n$th slate.

(a) What is the largest number they write on the $20$th slate?

(b) What is the sum of the numbers written on the $20$th slate?

(c) What is the sum of the numbers written on the $n$th slate?

Solution

See also

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