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Transcription of this question: 11.[Maximum mark: 2(a)(b)(c)(d)The sum Of the first six terms Of an arithmetic series is 81. The sum Of its firsteleven terms is 231. Find the first term and the common difference.The sum Of the first two terms Of a geometric series is I and the sum Of itsfirst four terms is 5. If all Of its terms are positive, find the first term and thecommon ratio.The term Of a new series is defined as the product Of the term Of thearithmetic series and the term Of the geometric series above. Show that therth term of this new series is (rUsing mathematical induction, prove that[6 marks][5 marks][3 marks][7 marks]

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