Challenging Questions

Mathematics – Compulsory Part

Learning Unit: Arithmetic and geometric sequences and their summations

Question M0-07-08

Consider a sequence with the first term \(a\) and the final term \(b\),

1. \(k\) arithmetic means are inserted between \(a\) and \(b\). Find the general term \(A(n)\) in terms of \(n\), \(k\), \(a\) and \(b\).
2. \(k\) geometric means are inserted between \(a\) and \(b\). Find the general term \(G(n)\) in terms of \(n\), \(k\), \(a\) and \(b\).

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