m325Kprac2a - M325K Practice Exam 2 No Calculators, books,...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: M325K Practice Exam 2 No Calculators, books, notes, etc. 1. Define the floor function. 2. State the Well-ordering Property. 3. Let r be a rational number. Under what conditions on r will r be rational? 4. Prove or disprove that the sum of two odd integers is even. 5. Find all primes of the form n2 + 2n - 3, where n is an integer, and show that you really do have all of them. 6. Prove or disprove that for a real number x, 2 x 2x . 7. Prove that 3 is irrational. 97 8. Compute the exact value of n=1 (-1)n . n 9. Prove that i=1 n2 = n(n + 1)(2n + 1) . 6 ...
View Full Document

This note was uploaded on 05/02/2011 for the course M 325k taught by Professor Schurle during the Spring '08 term at University of Texas.

Ask a homework question - tutors are online