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Transcription of this question: 8.[Maximum mark: 14](a) Consider an infinite geometric sequence with 40 and r(i) Find u a.(ii) Find the sum Of the infinite sequence.2Consider an arithmetic sequence with n terms, with first term (—36) and eighthterm(b)(c)(i) Find the common di [Terence.(ii) Show that Sn 2n2 — 38n.The sum Of the infinite geometric sequence is equal to twice the sum Of thearithmetic sequence. Find n.[4 marks][5 marks][5 marks]

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