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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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Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?
Yes, that's what a geometric sequence is about.
Is a geometric progression a quadratic sequence?
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.
What is the difference between a geometric sequence and a recursive formula?
what is the recursive formula for this geometric sequence?
What is the sequence of numbers that are both geometric and arithmetic?
It is called arithmetico-geometric sequence. I have added a link with some nice information about them.
What is the common ratio in this geometric sequence?
A single number does not constitute a sequence.
Descending geometric sequence?
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
Is the sum of two geometric sequence a geometric sequence?
No.
Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?
Yes, that's what a geometric sequence is about.
What is a shifted geometric sequence?
a sequence of shifted geometric numbers
Is a geometric progression a quadratic sequence?
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.
Who invented geometric sequence series?
antonette taño invented geometric sequence since 1990's
What is the difference between a geometric sequence and a recursive formula?
what is the recursive formula for this geometric sequence?
What is the sequence of numbers that are both geometric and arithmetic?
It is called arithmetico-geometric sequence. I have added a link with some nice information about them.
Is geometric and quadratic sequence same?
No.
What is ascending geometric sequence?
A geometric sequence is : a•r^n which is ascending if a is greater than 0 and r is greater than 1.
Which explains why the sequence 216 12 23 is arithmetic or geometric?
The sequence 216 12 23 is neither arithmetic nor geometric.
What is the common ratio in this geometric sequence?
A single number does not constitute a sequence.
