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A geometric sequence is a sequence where each term is a constant multiple of the preceding term. This constant multiplying factor is called the common ratio and may have any real value.

If the common ratio is greater than 0 but less than 1 then this produces a descending geometric sequence.

EXAMPLE : Consider the sequence : 12, 6, 3, 1.5, 0.75, 0.375,......

Each term is half the preceding term. The common ratio is therefore ½

The sequence can be written 12, 12(½), 12(½)2, 12(½)3, 12(½)4, 12(½)5,.....

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Q: What is descending geometric sequence?
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