A percussionist is experimenting with designs for a xylophone. It is to be symmterical in shape. The shortest woden bar is to be 10cm long and the consecutive bars will differ in length by b cm. The total length of all the wooden bars is S cm. Let the number of wooden bars be 2n+1.
i) Show that S =bn^2+20n+10.
ii) Given that S = 360 cm and b =1.5cm find the number of wooden bars.
i) Show that S =bn^2+20n+10.
ii) Given that S = 360 cm and b =1.5cm find the number of wooden bars.