2025 IGCSE Additional Mathematics October/November 0606/12 Q3

2025 IGCSE Additional Mathematics October/November 0606/12 Q3

6 marks

The sum of the first two terms of a geometric progression is 9.

The sum to infinity of this geometric progression is 25.

  1. Find the possible values of the common ratio of this geometric progression.[4]
  2. Find the first term of this geometric progression for each possible value of the common ratio.[2]

Solution:

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Answer:(a) \(r=\pm\dfrac45\) (b) \(a=5\) when \(r=\dfrac45\); \(a=45\) when \(r=-\dfrac45\).

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