They are 14, 42, 126, 378 and 1134.
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)
Ratio
It is 4374
Well, honey, neither. That sequence is a hot mess. In an arithmetic sequence, you add the same number each time, and in a geometric sequence, you multiply by the same number each time. This sequence is just doing its own thing, so it's neither arithmetic nor geometric.
Yes, that's what a geometric sequence is about.
A geometric sequence with 5 terms can alternate by having positive and negative terms. For example, one such sequence could be (2, -6, 18, -54, 162). Here, the first term is (2) and the common ratio is (-3), leading to alternating signs while maintaining the geometric property.
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
a, ar, ar^2 and ar^3 where a and r are constants.
yes
A static sequence: for example a geometric sequence with common ratio = 1.
No, they do not. If the first term is negative, they always decrease.
FALSE (Apex)
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