Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2012 | Oct-Nov | (P1-9709/13) | Q#5

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Question

The first term of a geometric progression is  and the fourth term is  . Find

    i.       the common ratio,

   ii.       the sum to infinity.

Solution

From the given information, we can compile following data for Geometric Progression (G.P);


i.
 

Expression for the general term  in the Geometric Progression (G.P) is:

Expressions for 4th term can be written as;


ii.
 

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

For the given case;

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