MATH 251

SPRING 2004

For Monday, February 2: Find the official definitions for convergent sequence and divergent sequence. [Solution] Describe carefully the several ways in which the sequences you get from ITERLIN behave. Some increase to a limit, some decrease to a limit, some approach a limit in other ways, some alternate, and so on. Make a list. Use LaTeX to print out a proof of the assertion For $r \neq 1$ and an integer $n \geq 0$, \begin{eqnarray} \sum_{k=0}^{n} r^{k} & = & {1-r^{n+1} \over 1-r} \end{array} [Solution: Source TeXed version] For Friday, February 13: Paper #1 on Iteration of Linear Functions