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Is constant sequence an AP?
It is an arithmetic sequence (with constant difference 0), or a geometric sequence (with constant ratio 1).
What is the formula for the following arithmetic sequence?
12, 6, 0, -6, ...
What is the difference between an arithmetic series and an arithmetic sequence?
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
What describes the sequence 1 1 2 3 5 is it arithmetic or geometric?
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.
What is the common difference in the following arithmetic sequence 12 6 0 -6 ...?
It appears to be -6
