SPM Practice 1 (Arithmetic Progression) : Question 15

Question 15(Tricky question! Make sure you try it!) 

The sum of n terms of an arithmetic progression is given by the formula S n = n 2 (53n)  . Find
(a) the first term,
(b) the common difference,
(c) the tenth term.

[ Hint : S 1 = T 1 =a S 2 = T 1 + T 2 d= T 2 T 1]