No it is not.U(2) - U(1) = 6 - 2 = 4
U(3) - U(2) = 18 - 6 = 12
Since 4 is different from 12, it is not an arithmetic sequence.
-2
An arithmetic sequence in one in which consecutive terms differ by a fixed amount,or equivalently, the next term can found by adding a fixed amount to the previous term. Example of an arithmetic sequence: 2 7 12 17 22 ... Here the the fixed amount is 5. I suppose any other type of sequence could be called non arithmetic, but I have not heard that expression before. Another useful kind of sequence is called geometric which is analogous to arithmetic, but multiplication is used instead of addition, i.e. to get the next term, multiply the previous term by some fixed amount. Example: 2 6 18 54 162 ... Here the muliplier is 3.
6, 2, ⅔
One of the simplest arithmetic arithmetic sequence is the counting numbers: 1, 2, 3, ... . The person who discovered that is prehistoric and, therefore, unknown.
The nth term in this arithmetic sequence is an=26+(n-1)(-8).
-2
It is the start of an arithmetic sequence.
An arithmetic sequence in one in which consecutive terms differ by a fixed amount,or equivalently, the next term can found by adding a fixed amount to the previous term. Example of an arithmetic sequence: 2 7 12 17 22 ... Here the the fixed amount is 5. I suppose any other type of sequence could be called non arithmetic, but I have not heard that expression before. Another useful kind of sequence is called geometric which is analogous to arithmetic, but multiplication is used instead of addition, i.e. to get the next term, multiply the previous term by some fixed amount. Example: 2 6 18 54 162 ... Here the muliplier is 3.
6, 2, ⅔
One of the simplest arithmetic arithmetic sequence is the counting numbers: 1, 2, 3, ... . The person who discovered that is prehistoric and, therefore, unknown.
The pattern in the sequence 2, 6, 18, 54, 162 can be identified by observing that each term is multiplied by 3 to get the next term. Specifically, 2 × 3 = 6, 6 × 3 = 18, 18 × 3 = 54, and 54 × 3 = 162. Therefore, to find the next term, we multiply 162 by 3, which gives us 486. Thus, the next term in the sequence is 486.
The nth term in this arithmetic sequence is an=26+(n-1)(-8).
This appears to be an arithmetic sequence with the difference increasing by 2 at each step. 1.5 → 5 (3.5) 5 → 10.5 (5.5) 10.5 → 18 (7.5) The next number in the sequence is 18 + 9.5 = 27.5
The pattern looks like the previous number is multiplied by -3, hence the next number in the sequence would be (-54) x (-3) = 162
The answer depends on what the explicit rule is!
A non-example of an arithmetic sequence is the series of numbers 2, 4, 8, 16, which is a geometric sequence. In this sequence, each term is multiplied by 2 to get to the next term, rather than adding a fixed number. Therefore, it does not have a constant difference between consecutive terms, which is a defining characteristic of an arithmetic sequence.
neither