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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.
Do the terms of a geometric sequence increase as it proceeds?
yes
What is the common ratio between the terms in this geometric sequence 5 20 80 320 1280?
1 to 4
What is the geometric sequence formula?
un = u0*rn for n = 1,2,3, ... where r is the constant multiple.
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...
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.
In a geometric sequence the between consecutive terms is constant.?
Ratio
What is the difference between succeeding terms called?
The difference between succeeding terms in a sequence is called the common difference in an arithmetic sequence, and the common ratio in a geometric sequence.
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 the sequence 2 3 5 8 12 arithmetic or geometric?
The sequence 2, 3, 5, 8, 12 is neither arithmetic nor geometric. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. In this sequence, there is no constant difference or ratio between consecutive terms, so it does not fit the criteria for either type of sequence.
Do the terms of a geometric sequence increase as it proceeds?
yes
What is the common ratio between the terms in this geometric sequence 5 20 80 320 1280?
1 to 4
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)
find the next two terms in geometric sequence 2,6,18,54,162,486,1458?
It is 4374
In a geometric sequence the ratio between consecutive terms is .?
Well, well, well, look who's getting fancy with geometric sequences! When the ratio between consecutive terms is "r," each term is found by multiplying the previous term by "r." So, in simpler terms, if you have a sequence like 2, 4, 8, 16, the ratio between consecutive terms is 2. Math can be sassy too, honey!
What is the geometric sequence formula?
un = u0*rn for n = 1,2,3, ... where r is the constant multiple.
