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| + | 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. | ||
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| + | For an example on using LaTeX, I have restated the problem below (for more help, see [http://www.mediawiki.org/wiki/Manual:Math the Rhea LaTeX Manual]) | ||
* (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>. | * (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>. | ||
* (b) What is <math>1 + 2x + 3x^2 + \ldots +nx^{n-1}</math>? (Hint: differentiate (a)) | * (b) What is <math>1 + 2x + 3x^2 + \ldots +nx^{n-1}</math>? (Hint: differentiate (a)) | ||
Revision as of 17:28, 3 September 2008
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))
