Question: a) An arithmetic series has first term 4 and common difference 12. Find: i. t20 (2 marks) ii. The sum of the first 100 terms.

a) An arithmetic series has first term 4 and common difference 12. Find: i. t20 (2 marks) ii. The sum of the first 100 terms. (2 marks) b) Given the geometric progression 2, -6, 18, ........ .Find: i. 7th term. (2 marks) ii. Sum the first 10th terms. (3 marks) C) Given that matrix A = = ] . Find 3A (2 marks) ii. Inverse matrix of A. (4 marks) iii. A x [2 3] (1 mark) d) Given that n [ (5k + 2) = = (9+5n) K =1 i. Find the sum of the first two terms of _k=1 (5k + 2) (2 marks) ii. By using mathematical induction, prove the above expression. (8 marks)

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