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Math 24
Assignment 1
Due Monday 7 January 2002
Reading: Read Appendix C (pp. 510-513) and section 1.1 and 1.2 of the text. Come to class with questions and comments on Monday!

Written assignment: work problems #1, 10, 13, 18 and 22 of section 1.2 in the text. In addition, work the following problems.

In no more than a page, write a summary of why induction is a vali...
...r audience is someone with little or no
mathematical sophistication.

Use mathematical induction to prove that
\sum_{i=1}^{n} i^{2} = \frac {n(n+1)(2n+1)}6.

Use mathematical induction to prove that if $x\ge0$\ and
$n\in\mathbf{N}=\{\,1,2,3,\dots\,\}$, then $(1+x)^{n}\ge 1+nx$.

Math 24 Winter 2002 2002-01-04