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A sequence is geometric if each term is found by mutiplying the previous term by a certain number (known as the common ratio).

2,4,8,16, --> here the common ratio is 2.

Q: How do you determine if a sequence is geometric?

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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.

No.

a sequence of shifted geometric numbers

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

No.

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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.

No.

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

a sequence of shifted geometric numbers

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.

antonette taño invented geometric sequence since 1990's

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

It can be any number. Two numbers do not even determine whether the "sequence" is arithmetic, geometric or other.

what is the recursive formula for this geometric sequence?

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

No.

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