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Question One 1. If 𝑆𝑛 = 3 2 𝑛 2 − 5 2 𝑛 1.1 Determine the sum of the first 10 terms. (2) 1.2 Determine 𝑇10 (3) (5) Question Two 2. Three numbers form an arithmetic sequence. Their sum is 24. 2.1 If 𝑎 is the first number and 𝑑 the common difference, show that 𝑎 + 𝑑 = 8. (2) 2.2 If the first number is decreased by 1 and the second number by 2, the three numbers then form a geometric sequence. Find the three numbers. (8) (10) Question Three 3. Consider the number pattern 6; 10; 16; 24; 34; ……….. 3.1 If the pattern behaves consistently, determine the next TWO terms of the pattern. (2) 3.2 Determine the general term of this pattern. (5) 3.3 Calculate 𝑛 if the 𝑛 𝑡ℎ term in the pattern is 1264. (4) (11) Question Four The diagram below represents a square 𝑃𝐵𝑄𝐴 with side lengths equal to 12 units. A second square is drawn with diagonal 𝐶𝐵 = 1 2 𝐴𝐵. A third square is drawn with diagonal 𝐷𝐶 = 1 2 𝐴𝐶, and a fourth square with diagonal 𝐸𝐷 = 1 2 𝐴𝐷. The pattern continues until 10 Squares are drawn.

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