2014 UNCO Math Contest II Problems/Problem 4

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

(a) $210$ (b) $4010$ (c) $\frac{n(n^2+1)}{2}$

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

Page

Toolbox

Search

2014 UNCO Math Contest II Problems/Problem 4

Problem

Solution

See also