2025 IGCSE Additional Mathematics October/November 0606/11 Q5

2025 IGCSE Additional Mathematics October/November 0606/11 Q5

7 marks
  1. In an arithmetic progression:
    • the first term is 3
    • the sum of the first 10 terms is 4 times the sum of the first 5 terms.
    Find the common difference.[3]
  2. The 1st, 2nd and 5th terms of another arithmetic progression are the 1st, 2nd and 3rd terms of a geometric progression.
    It is given that the 1st terms of the progressions are not 0.
    Find the common ratio, \(r\), where \(r\ne1\), of the geometric progression.[4]

Solution:

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Answer:(a) \(d=6\) (b) \(r=3\)

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