determine whether each sequence is an arithmetic sequence
4,7,9,12...
For a sequence to be arithmetic the difference between consecutive terms must be the same ...
7-4 = 3
9-7 = 2
12-9 = 3 , mmmhhhh?
To determine whether a sequence is an arithmetic sequence, we need to check if there is a common difference between consecutive terms.
Let's find the differences between consecutive terms in the given sequence:
7 - 4 = 3
9 - 7 = 2
12 - 9 = 3
As we can see, the differences are not constant. The differences are 3, 2, and 3 successively.
Since the differences are not the same for all consecutive terms, we can conclude that the given sequence is not an arithmetic sequence.
To determine whether a sequence is an arithmetic sequence, we need to check if there is a constant difference between each consecutive term.
In this sequence, we can observe the following differences between consecutive terms:
7 - 4 = 3
9 - 7 = 2
12 - 9 = 3
Since the differences between the terms are not constant, the sequence is not an arithmetic sequence.