2025 IGCSE Additional Mathematics May/June 0606/21 Q11

2025 IGCSE Additional Mathematics May/June 0606/21 Q11

8 marks

A geometric progression has first term \(a\) and common ratio \(r\), where \(r>0\).

The sum of the 2nd and 3rd terms of the progression is \(168\).

The sum of the 4th and 5th terms of the progression is \(94.5\).

  1. Find the 6th term of the progression.[7]
  2. Find the sum to infinity of the progression.[1]

Solution:

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Answer:(a) \(\dfrac{243}8\) (b) \(512\)

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