Wai Posted June 14, 2007 Share Posted June 14, 2007 Our class was given a "ridiculously hard" extension maths project. I've been able to answer all the questions except one. This is the problem: --------------------- The variable [math]x[/math] is defined: [math]x = 1/2^2 + 1/3^2 + 1/4^2 + 1/5^2 ...[/math] Express the infinite sum [math]1 + 1/2^2 + 1/4^2 + 1/6^2 + 1/8^2 ...[/math] in terms of [math]x[/math]. --------------------- Could someone please give me a clue to solving this? I don't even know where to start. The teacher who wrote the project has received quite a lot of complaints lol. Link to comment Share on other sites More sharing options...
D H Posted June 14, 2007 Share Posted June 14, 2007 Compare the two series on a term-by-term basis. It might help to temporarily discard some of the leading terms of the target series. You can always add those discarded terms back in later. Link to comment Share on other sites More sharing options...
Wai Posted June 14, 2007 Author Share Posted June 14, 2007 Ah... I get it now Link to comment Share on other sites More sharing options...
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