Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

 Messages: [ Previous | Next ]
 Avni Pllana Posts: 546 Registered: 12/6/04
Re: Help in two questions, please
Posted: Oct 28, 2009 9:55 AM

> 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

Date Subject Author
10/25/09 Mocha
10/26/09 HallsofIvy
10/27/09 Mocha
1/31/12 chrstnsln22
10/28/09 Avni Pllana
10/29/09 Mocha
7/18/10 brahmi
8/5/10 Den2501
1/31/12 Nate Digby
9/13/10 Dfrtbx