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

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

Options:

Correct Answer: The difference between any two consecutive terms is constant.

Solution:

In an arithmetic progression, the difference between any two consecutive terms is indeed constant, which defines the sequence.

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

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

Step 1: Understand what an arithmetic progression (AP) is. It is a sequence of numbers where the difference between any two consecutive terms is the same.
Step 2: Identify the common difference in an AP. This is the value you add to each term to get the next term.
Step 3: Check if the difference between the first two terms is the same as the difference between the second and third terms. If they are the same, it confirms the sequence is an AP.
Step 4: Conclude that the statement about the constant difference between consecutive terms is true for an arithmetic progression.

No concepts available.