Question

4. (a) A geometric progression has a second term of
12 and a sum to infinity of 54. Find the possible
values of the first term of the progression.
(b) The nth term of a progression is p + qn, where
p and q are constants, and Sn is the sum of the first
n terms.
(i) Find an expression, in terms of p, q and n, for Sn.
(ii) Given that S4= 40 and S6= 72, find the values of
p and q.


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Answer 1

Answer:

Expression for the sum to infinity of the Geometric Progression (G.P) when  or ;



For the given case;



We need to find .