# Example for Homework 1.1=

Your Rhea entry may discuss anything pertaining to the problem: an idea for an approach, a question, a comment on a supplemental relevant topic, etc.

For an example on using LaTeX, I have restated the problem below (for more help, see the Rhea LaTeX Manual)

• (a) Prove that $1 + x + x^2 + \ldots + x^{n-1} = \frac{1-x^n}{1-x}$ for $x\neq1$ and integer $n\geq1$.
• (b) What is $1 + 2x + 3x^2 + \ldots +nx^{n-1}$? (Hint: differentiate (a))

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