MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
The first term of a geometric progression is 3. Its nth term is 192 and the sum of the first n terms is 255.
(i) Find the value of n.
(ii) Determine the common ratio.
(iii) Obtain the sum of the next three terms, that is, from the (n+1)th term to the (n+3)rd term.