A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
FALSE (Apex)
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.
Ratio
It is 4374
Yes, that's what a geometric sequence is about.
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
yes
a, ar, ar^2 and ar^3 where a and r are constants.
A static sequence: for example a geometric sequence with common ratio = 1.
FALSE (Apex)
No, they do not. If the first term is negative, they always decrease.
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.
Ratio
It is 4374
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.
The terms are: 4, 8 and 16