Challenging Questions

Mathematics – Compulsory Part

Learning Unit: Arithmetic and geometric sequences and their summations

Question M0-07-02

If \(a^2\), \(b^2\) and \(c^2\) form an arithmetic sequence where \(a\), \(b\) and \(c\) are real numbers, show that \(\frac{1}{b+c}\), \(\frac{1}{c+a}\) and \(\frac{1}{a+b}\) also form an arithmetic sequence.

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