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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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A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.

No.

Yes, that's what a geometric sequence is about.

a sequence of shifted geometric numbers

antonette taño invented geometric sequence since 1990's

A geometric sequence is : a•r^n while a quadratic sequence is a• n^2 + b•n + c So the answer is no, unless we are talking about an infinite sequence of zeros which strictly speaking is both a geometric and a quadratic sequence.

A geometric sequence is : a•r^n which is ascending if a is greater than 0 and r is greater than 1.

The sequence 216 12 23 is neither arithmetic nor geometric.

The sequence is neither arithmetic nor geometric.

No.

2946

It is called arithmetico-geometric sequence. I have added a link with some nice information about them.

It is a geometric sequence.

An example of an infinite geometric sequence is 3, 5, 7, 9, ..., the three dots represent that the number goes on forever.

A single number does not constitute a sequence.

A static sequence: for example a geometric sequence with common ratio = 1.

=3

1240

Ratio

There can be no solution to geometric sequences and series: only to specific questions about them.

It is an arithmetic sequence (with constant difference 0), or a geometric sequence (with constant ratio 1).

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 10.

an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.

4, -1236, -108 is not a geometric system.

It is neither. It is a quadratic sequence. Un = (x2 - x + 4)/2 for n = 1, 2, 3, ...

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