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Quiz 3 - 3 Questions of Introduction to Proofs Via Number Theory | MATH 302, Quizzes of Mathematics

Material Type: Quiz; Class: Introduction to Proofs Via Number Theory; Subject: Mathematics; University: Western Washington University; Term: Fall 2007;

Typology: Quizzes

Pre 2010

Uploaded on 08/19/2009

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MATH 302 Quiz 3
November 13, 2007 Name
This is to be turned in on Thursday, November ‘15.
I want a clean, polished solution to the following. Attach to the back, your scratch work. The
maximum score on the quiz is 6 points.
1. 1 point The odd number 7can be expressed as 16 9=42
32, a difference of two squares.
Express each of 17 and 83 as the difference of two squares.
2. 2 points Demonstrate that every odd number 2n+ 1 may be expressed as the difference of two
squares”
3. 3 points Demonstrate which even numbers can be expressed as a difference of two squares.

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MATH 302

Quiz 3 November 13, 2007 Name

This is to be turned in on Thursday, November ‘15. I want a clean, polished solution to the following. Attach to the back, your scratch work. The maximum score on the quiz is 6 points.

  1. 1 point The odd number 7 can be expressed as 16 − 9 = 4^2 − 32 , a difference of two squares. Express each of 17 and 83 as the difference of two squares.
  2. 2 points Demonstrate that every odd number 2 n + 1 may be expressed as the difference of two squares”
  3. 3 points Demonstrate which even numbers can be expressed as a difference of two squares.