9709 P11 - Jun 2014 - Q5
848
An arithmetic progression has first term \(a\) and common difference \(d\). It is given that the sum of the first 200 terms is 4 times the sum of the first 100 terms.
(i) Find \(d\) in terms of \(a\).
(ii) Find the 100th term in terms of \(a\).
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