The terms are: 4, 8 and 16
Yes, that's what a geometric sequence is about.
The numbers 2, 4, 7, 11 are neither strictly 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. Here, the differences between terms are 2, 3, and 4, suggesting a pattern of increasing increments. Following this pattern, the next two terms would be 16 (11 + 5) and 22 (16 + 6).
yes
1 to 4
To find the fifth term of the geometric sequence 8, 0, 4, 0, 20, we need to identify a pattern. The terms appear to alternate between zero and other values, but there might be a misunderstanding since the terms provided don't follow a consistent geometric ratio. Assuming the sequence is correct as given, the fifth term is 20.
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
Ratio
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.
Yes, that's what a geometric sequence is about.
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.
The numbers 2, 4, 7, 11 are neither strictly 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. Here, the differences between terms are 2, 3, and 4, suggesting a pattern of increasing increments. Following this pattern, the next two terms would be 16 (11 + 5) and 22 (16 + 6).
yes
1 to 4
A static sequence: for example a geometric sequence with common ratio = 1.
FALSE (Apex)
To find the fifth term of the geometric sequence 8, 0, 4, 0, 20, we need to identify a pattern. The terms appear to alternate between zero and other values, but there might be a misunderstanding since the terms provided don't follow a consistent geometric ratio. Assuming the sequence is correct as given, the fifth term is 20.
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.