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2011 UNCO Math Contest II Problems/Problem 4

Revision as of 21:42, 19 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Let <math>A = \left\{ 2,5,10,17,\cdots,n^2+1,\cdots\right\}</math> be the set of all positive squares plus <math>1</math> and <math>B = \left\{101, 104, 109, 116,\...")
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Problem

Let $A = \left\{ 2,5,10,17,\cdots,n^2+1,\cdots\right\}$ be the set of all positive squares plus $1$ and $B = \left\{101, 104, 109, 116,\cdots,m^2 + 100,\cdots\right\}$ be the set of all positive squares plus $100$.

(a) What is the smallest number in both $A$ and $B$?

(b) Find all numbers that are in both $A$ and $B$.


Solution

See Also

2011 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
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