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Math Forum » Discussions » Math Topics » alt.algebra.help.independent

Topic: Help in two questions, please
Replies: 9   Last Post: Jan 31, 2012 8:48 AM

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Avni Pllana

Posts: 433
Registered: 12/6/04
Re: Help in two questions, please
Posted: Oct 28, 2009 9:55 AM
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> Hi!
>
> Here are two questions that have me really stumped.
>
> Q1 - If x + y = 2 and x^2 + y^2 = 8, find
>
> a) xy
> b) x - y
>
> Do I solve these simultaneously? Quadratically? Or
> something else?
>
> Q2 - Complete the sequence:
>
> 7/8, 2/3, 1/2, 4/11, 1/4, ______, ______ .
>
> I seriously can't figure out any pattern here!
>
> Thanks.

Hi Mocha,

the sequence in Q2 may have to do with Farey sequence, see for example:

http://en.wikipedia.org/wiki/Farey_sequence

http://www.research.att.com/~njas/sequences/

Best regards,
Avni

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