Gedankenraum » Train your Brain https://gedankenraum.neuerplan.org Meine Gedanken. Deine Gedanken. Unsere Gedanken Thu, 03 Jan 2019 15:00:28 +0000 de-DE hourly 1 https://wordpress.org/?v=4.0.38 Tanzanian „Mock“ National Exam Maths Question https://gedankenraum.neuerplan.org/2011/05/17/tanzanian-mock-national-exam-maths-question/ https://gedankenraum.neuerplan.org/2011/05/17/tanzanian-mock-national-exam-maths-question/#comments Tue, 17 May 2011 13:55:10 +0000 http://gedankenraum.neuerplan.org/?p=1310 I had a delightful time helping the Form 4 (last year of secondary school, before the A-levels) students with questions from their „Mock“ National Exam in Mathematics, which will soon decide about whether they can go on to the A-levels. One of these questions surprised me with the amount of creative thinking it involved. That is, I am wondering if there is a standard way to solve this that I overlooked. So here it is, any inputs are welcome (train your brain!):

In a geometric progression, the sum of the second and third term is 6, and the sum of the third and fourth term is –12. Find the first term and common ratio of the progression.

I will post my solution after some comments come in, or I get bored waiting ;)

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