Given three positive real numbers a, b, c in a geometric progression. If m and n be the positive geometric means between a, b and b, c respectively, then prove that a, m, b, n, c are also in geometric progression.

Presents Modules of Problems and Their Solutions

Given three positive real numbers a, b, c in a geometric progression. If m and n be the positive geometric means between a, b and b, c respectively, then prove that a, m, b, n, c are also in geometric progression.

A trapezium has three sides equal to k cm, where k is a constant. If the fourth side is varied to make the area of the trapezium maximum, tell what its angles happen to be?

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