The statement is True.

Explanation:

An arithmetic sequence is defined as a sequence in which the difference between any two consecutive terms is constant. This constant difference is called the common difference.

If $a_1, a_2, a_3, \dots$ is an arithmetic sequence, then:
a_{n+1} - a_n = d \quad \text{(for all n)}, where $d$ is the common difference.

Thus, the condition that the difference between any two consecutive terms remains constant is both necessary and sufficient for a sequence to be arithmetic.

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Related Questions:

1. What is the formula for the $n$-th term of an arithmetic sequence?
2. How do you find the sum of the first $n$ terms of an arithmetic sequence?
3. Can a sequence with a common ratio (like geometric) also satisfy this condition?
4. How would you test if a given sequence is arithmetic from its terms?
5. What are some examples of real-world situations modeled by arithmetic sequences?

Tip:

To identify an arithmetic sequence, compute the differences between consecutive terms and check if they are all equal!