0606 P13 - Jun 2020 - Q8 - 8 marks
8125
(a) An arithmetic progression has a first term of \(7\) and a common difference of \(0.4\). Find the least number of terms so that the sum of the progression is greater than \(300\).
(b) The sum of the first two terms of a geometric progression is \(9\) and its sum to infinity is \(36\). Given that the terms of the progression are positive, find the common ratio.
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