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Mathematics 30 June 1999 Grade 12 Diploma Exam

Mathematics 30 June 1999 Grade 12 Diploma Exam

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Numerical Response<br />

5. The graph of a hyperbola has the equation 9x 2 – 16y 2 – 180x + 756 = 0.<br />

The value of the largest y-intercept, correct to the nearest tenth, is __________.<br />

(Record your answer in the numerical-response section on the answer sheet.)<br />

27. In a geometric sequence, the first term is<br />

2 and the sixth term is<br />

3 .<br />

81<br />

16<br />

The common ratio for this geometric sequence is<br />

A.<br />

B.<br />

2<br />

3<br />

3<br />

2<br />

C. 2<br />

D. 3<br />

28. The third term, t 3 , of the sequence defined by t 1 = 2, t n = 2 t n–1 , n > 1, n ∈ N is<br />

A. 4<br />

B. 6<br />

C. 8<br />

D. 16<br />

18

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