??? - 2013 JUNE Q6
6. S is the sum to infinity of a geometric progression with first term a and common ratio r.
i) Another geometric progression has first term 2a and common ratio r. Express the sum to infinity of this progression in terms of S. [1]
i) Another geometric progression has first term 2a and common ratio r. Express the sum to infinity of this progression in terms of S. [1]
(ii) A third geometric progression has first term a and common ratio r2.
Express, in its simplest form, the sum to infinity of this progression in terms of S and r. [2]