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2. (a) Find the sum of the infinite geometric sequence 27, -9, 3, -1. ... . (3) (b) Use mathematical induction to prove that for

2. (a) Find the sum of the infinite geometric sequence 27, -9, 3, -1. ... . (3) (b) Use mathematical induction to prove that for me Z+, a(1-r") a + ar + ar+ ... +a"- I-r (7) (Total 10 marks)

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