It is an arithmetic sequence (with constant difference 0), or a geometric sequence (with constant ratio 1).
12, 6, 0, -6, ...
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.
It appears to be -6
It is an arithmetic sequence (with constant difference 0), or a geometric sequence (with constant ratio 1).
12, 6, 0, -6, ...
origin of arithmetic sequence
A single number, such as 11111, cannot define an arithmetic sequence. On the other hand, it can be the first element of any kind of sequence. On the other hand, if the question was about ``1, 1, 1, 1, 1'' then that is an arithmetic sequence as there is a common difference of 0 between each term.
It is an arithmetic sequence for which the index goes on and on (and on).
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.
That's an arithmetic sequence.
It appears to be -6
It is the start of an arithmetic sequence.
Arithmetic
Any pair of numbers will always form an arithmetic sequence.