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Question 1 A. Robert placed $48 in his piggy bank. At the beginning of the second and third month he placed in his piggy bank $63 and $78 respectively. His saving pattern continues in this manner. How much money would he have saved in his piggy bunk at the beginning of the 51st month? (7 marks) B. The second term of the geometric progression is -6 and its fifth term is 162. Find the: i. Common ratio (4 marks) ii. The first term (2 marks) iii. Hence find the sum of the first terms (4 marks) C. For the geometric series 1+ +. 141+........., find the sum to infinity. (3 marks) 2 4 (Total 20 marks) Question 2 Using Cramer's Rule , solve the system of equations below: x+2y-5z =7 3x +4y+z=4 5x-6y-32 =5 (Total 20 marks)