hw07 - n 2 n grid, then the resulting gure can be...

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Intro to Abstract Math Homework 7 Fall 2009 Due September 21 Exercise 22. Use induction to prove the power rule from Calculus. That is, for all n N , d dx x n = nx n - 1 . Exercise 23. Prove that for all n N (1 + 2 + 3 + ··· + n ) 2 = 1 3 + 2 3 + 3 3 + ··· + n 3 . Exercise 24. Let n N . Show that if a single square is removed from a 2
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Unformatted text preview: n 2 n grid, then the resulting gure can be completely covered by non-overlapping tiles of the form . An example of such a covering in the n = 3 case is shown below....
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This note was uploaded on 02/29/2012 for the course MATH 3326 taught by Professor Ryandaileda during the Fall '09 term at Trinity University.

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