A geometric progression, also known as a geometric sequence, is a sequence of numbers in which each term after the first is found by multiplying the previous one by a fixed non-zero number called the common ratio. Books VIII and IX of Euclid’s Elements analyse geometric progressions and give several of their properties. A geometric progression gains its geometric character from the fact that the areas of two geometrically similar plane figures are in duplicate ratio to their corresponding sides. Further,the volumes of two similar solid figures are in triplicate ratio of their corresponding sides.
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