0
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,.....
Still curious? Ask our experts.
Chat with our AI personalities
Fran
Rafa
LaoAdd your answer:
Earn +20 pts
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.
