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| + | [[Category:ECE302Fall2008_ProfSanghavi]] | ||
| + | [[Category:probabilities]] | ||
| + | [[Category:ECE302]] | ||
| + | [[Category:homework]] | ||
| + | [[Category:problem solving]] | ||
== Instructions == | == Instructions == | ||
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== Problem 1 == | == Problem 1 == | ||
| + | (a) Prove that <math>1 + x + x^2 + \ldots + x^{n-1} = \frac{1-x^n}{1-x}</math> for <math>x\neq1</math> and integer <math>n\geq1</math>. | ||
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| + | (b) What is <math>1 + 2x + 3x^2 + \ldots +nx^{n-1}</math>? | ||
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[[HW1.1 Landis Huffman_ECE302Fall2008sanghavi]] | [[HW1.1 Landis Huffman_ECE302Fall2008sanghavi]] | ||
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== Problem 4 == | == Problem 4 == | ||
| + | ---- | ||
| + | [[Main_Page_ECE302Fall2008sanghavi|Back to ECE302 Fall 2008 Prof. Sanghavi]] | ||
Latest revision as of 11:53, 22 November 2011
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} $?
HW1.1 Landis Huffman_ECE302Fall2008sanghavi
