Challenging Questions

Mathematics – Compulsory Part

Learning Unit: Arithmetic and geometric sequences and their summations

Question M0-07-01

Consider a sequence \(a, b, c, \ldots \ldots\)

1. If it is an arithmetic sequence, show that \(2^a\), \(2^b\), and \(2^c\) form a geometric sequence.
2. If it is a geometric sequence, show that \(\log a\), \(\log b\), and \(\log c\) form an arithmetic sequence.

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