Difference between revisions of "2014 UNCO Math Contest II Problems/Problem 4"

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== Solution ==
 
== Solution ==
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(a) <math>210</math> (b) <math>4010</math> (c) <math>\frac{n(n^2+1)}{2}</math>
  
 
== See also ==
 
== See also ==

Revision as of 03:31, 13 January 2019

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) $\frac{n(n^2+1)}{2}$

See also

2014 UNCO Math Contest II (ProblemsAnswer KeyResources)
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