9709 P12 - Jun 2019 - Q10
827
In an arithmetic progression, the sum of the first ten terms is equal to the sum of the next five terms. The first term is \(a\).
(i) Show that the common difference of the progression is \(\frac{1}{3}a\).
(ii) Given that the tenth term is 36 more than the fourth term, find the value of \(a\).
