The following sequence is arithmetic.
2, -2, 2, -2, 2,
True or False
I believe it's false
I think it is false. Geometric sequence, with r=-1
Arithmetic ratios add a constant to each term. such as in 2, 5, 8, 11, ..
It was false.
You are correct, the given sequence is not arithmetic. In an arithmetic sequence, the difference between consecutive terms remains constant. However, in the given sequence (2, -2, 2, -2, 2), the difference alternates between 4 and -4, making it non-arithmetic. Therefore, the statement "The following sequence is arithmetic" is false.
To determine if the given sequence is arithmetic, we need to check if there is a common difference between consecutive terms.
In this case, the terms in the sequence are alternating between 2 and -2. Therefore, there is no common difference between consecutive terms, and the sequence is not arithmetic.
Hence, your belief is correct. The statement is false.