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## Instructions

Homework 1 can be downloaded here on the ECE 302 course website

## Problem 1

(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 $1 + 2x + 3x^2 + \ldots +nx^{n-1}$?

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Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.