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Is the Fibonacci sequence a geometric sequence?
No. Although the ratios of the terms in the Fibonacci sequence do approach a constant, phi, in order for the Fibonacci sequence to be a geometric sequence the ratio of ALL of the terms has to be a constant, not just approaching one. A simple counterexample to show that this is not true is to notice that 1/1 is not equal to 2/1, nor is 3/2, 5/3, 8/5...
What is the geometric sequence formula?
un = u0*rn for n = 1,2,3, ... where r is the constant multiple.
How do you calculate the ratio of consecutive terms?
If the nth term is Tn, the ratios of consecutive terms are Tn+1/Tn for n = 1, 2, 3, ... This will be a constant only for geometric sequences.
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 does geometric sequence?
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
In a geometric sequence the between consecutive terms is constant.?
Ratio
In a geometric sequence the ratio between consecutive terms is .?
It is a constant, other than 0 or 1.
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 Fibonacci sequence arithmetic?
No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant
Is the Fibonacci sequence a geometric sequence?
No. Although the ratios of the terms in the Fibonacci sequence do approach a constant, phi, in order for the Fibonacci sequence to be a geometric sequence the ratio of ALL of the terms has to be a constant, not just approaching one. A simple counterexample to show that this is not true is to notice that 1/1 is not equal to 2/1, nor is 3/2, 5/3, 8/5...
What is the geometric sequence formula?
un = u0*rn for n = 1,2,3, ... where r is the constant multiple.
How do you calculate the ratio of consecutive terms?
If the nth term is Tn, the ratios of consecutive terms are Tn+1/Tn for n = 1, 2, 3, ... This will be a constant only for geometric sequences.
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 does geometric sequence?
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
Do the terms of a geometric sequence increase as it proceeds?
yes
In what sequence are all of the terms the same?
A static sequence: for example a geometric sequence with common ratio = 1.
DO the terms in a geometric sequence always increase?
FALSE (Apex)
