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6. A series of positive integers u 1, u 2, u 3, ... is defined byLeaveblanku 1= 6 and u n+1= 6u n– 5, for n 1.Prove by induction that u n= 5 × 6 n – 1 + 1, for n 1.(5)________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________12*N34694A01228*
<strong>Question</strong> 6 continued______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________LeaveblankQ6(Total 5 marks)*N34694A01328*13Turn over
Page 1 and 2: CentreNo.CandidateNo.SurnameSignatu
Page 3 and 4: Question 1 continued_______________
Page 7: Question 3 continued_______________
Page 14 and 15: ⎛ 2 a ⎞7. Given that X = ⎜
Page 16 and 17: 8. A parabola has equation y 2 = 4a
Page 20 and 21: 9. Given that z 1= 3 + 2i and z 2=
Page 24 and 25: ⎛ 1⎛10. A = 3 √ 2 0 ⎞⎜⎝
Page 26 and 27: Question 10 continued______________
Page 28: Question 10 continued______________

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