
3.1The first four terms of a quadratic number pattern are 1; x; 3; x + 8

3.1.1Calculate the value(s) of x.(4)

3.1.2If x = 0, determine the position of the first term in the quadratic number pattern for which the sum of the first n first differences will be greater than 250.(4)


3.2Rectangles of width 1 cm are drawn from the edge of a shit of paper that is 30 cm long such that there is a 1 cm gap between one rectangle and the next. The length of the first rectangle is 21 cm and the length of each successive rectangle is 85% of the length of the previous rectangle until there are rectangles drawn along the entire length AD. Each rectangle is coloured grey.

3.2.1Calculate the length of the 10^{th} rectangle.(3)

3.2.2Calculate the percentage of the paper that is coloured grey.(4)

(15)
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