P.o.t.W. #21
■ No GDC ■ for SL and HL students The first three terms of a geometric sequence are \(\dfrac{{x\left( {x + 1} \right)}}{{x - 2}} , \(\dfrac{{x{{\left( {x + 1} \right)}^2}}}{{{{\left( {x - 2} \right)}^2}}} and \(\dfrac{{x{{\left( {x + 1} \right)}^3}}}{{{{\left( {x - 2} \right)}^3}}} , where \(x < 2 . (a) Write down a simplified expression for the common ratio of the sequence. (b) Find a simplified expression for the...