Which of the following statements is true regarding an arithmetic progression?

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Question: Which of the following statements is true regarding an arithmetic progression?

Options:

Correct Answer: The difference between consecutive terms is constant.

Solution:

In an arithmetic progression, the difference between consecutive terms is constant, which is the defining property of an AP.

Which of the following statements is true regarding an arithmetic progression?

Which of the following statements is true regarding an arithmetic progression?

Step 1: Understand what an arithmetic progression (AP) is. An AP is a sequence of numbers where each term after the first is found by adding a constant difference to the previous term.
Step 2: Identify the constant difference in an AP. This difference is the same between any two consecutive terms in the sequence.
Step 3: Recognize that the defining property of an AP is that this difference remains constant throughout the sequence.
Step 4: Conclude that any statement claiming that the difference between consecutive terms is constant is true regarding an arithmetic progression.

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