2026 IGCSE Additional Mathematics May/June 0606/21 Q3

2026 IGCSE Additional Mathematics May/June 0606/21 Q3

8 marks

An arithmetic progression has first term \(a\) and common difference \(d\).

The 6th term is 1.5 times the 3rd term.

The sum of the first ten terms is 255.

  1. Find the values of \(a\) and \(d\).[4]
  2. Using your values of \(a\) and \(d\), find the least number of terms for the sum of this arithmetic progression to be greater than \(40\,000\).[4]

Solution:

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Answer:(a) \(a=12,\ d=3\) (b) \(160\) terms.

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