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.
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.
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.
To determine if a sequence is geometric, check if the ratio between consecutive terms is constant. You can calculate the ratio by dividing each term by the preceding term. If this ratio remains the same for all pairs of consecutive terms, then the sequence is geometric. Additionally, a geometric sequence can be verified using a geometric sequence calculator, which will confirm the common ratio and provide further analysis.
No.
Yes, that's what a geometric sequence is about.
The term "0.21525" itself does not indicate whether it is geometric or arithmetic, as it is simply a numerical value. To determine if a sequence or series is geometric or arithmetic, we need to examine the relationship between its terms. An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio. If you provide a series of terms, I can help identify its nature.
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.