Category Archives: Mathematics

Apollonius’ Theorem

An interesting relationship found in geometry involves the measurements of the sides of a triangle and the measurement of the triangle’s median.  In the following diagram the median of the triangle (with sides X and Y) is indicated by Z.  … Continue reading

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Arithmetic and Geometric Sequences, Given Values of Two Terms

A common problem found in IB mathematics textbooks (all levels), is to describe a sequence (either arithmetic or geometric) from two term values in the sequence. e.g. Determine the nth-term equation of a sequence given that the seventh term is … Continue reading

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Systems of Linear Functions and their Reciprocals

Recently, I’ve been exploring the relationship between systems of linear functions and their reciprocals, namely:

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