1. (a) The first, second and third terms of a geometric progression are 2k + 3, k + 6 and k respectively. Given that all

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1 A The First Second And Third Terms Of A Geometric Progression Are 2k 3 K 6 And K Respectively Given That All 1 (41.03 KiB) Viewed 8 times

1. (a) The first, second and third terms of a geometric progression are 2k + 3, k + 6 and k respectively. Given that all the terms of the geometric progression are positive, calculate: (i) the value of constant k, (3 marks) (ii) the sum to infinity of the progression. (3 marks) (b) The first and second terms of a progression are 4 and 8 respectively. Find the sum of the first 10 terms given that the progression is: (i) an arithmetic progression (2 marks) (ii) a geometric progression. (2 marks) (c) An arithmetic progression has first term a and the common difference d. Given that the sum of the third term and the sixth term is equal to the tenth term. The sum of the first 12 terms is - 180. Find the sum of the first 10 terms. (3 marks)