yes
Yes, that's what a geometric sequence is about.
The term "0.21525" itself does not indicate whether it is geometric or arithmetic, as it is simply a numerical value. To determine if a sequence or series is geometric or arithmetic, we need to examine the relationship between its terms. An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio. If you provide a series of terms, I can help identify its nature.
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.
The terms are: 4, 8 and 16
un = u0*rn for n = 1,2,3, ... where r is the constant multiple.
FALSE (Apex)
Yes, that's what a geometric sequence is about.
No, they do not. If the first term is negative, they always decrease.
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
A static sequence: for example a geometric sequence with common ratio = 1.
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.
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
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.
un = u0*rn for n = 1,2,3, ... where r is the constant multiple.