Which of the following sequences is an arithmetic progression?

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Question: Which of the following sequences is an arithmetic progression?

Options:

Correct Answer: 1, 3, 5, 7

Solution:

An arithmetic progression has a constant difference between consecutive terms. The sequence 1, 3, 5, 7 has a common difference of 2.

Which of the following sequences is an arithmetic progression?

Which of the following sequences is an arithmetic progression?

Step 1: Understand what an arithmetic progression is. It is a sequence of numbers where the difference between any two consecutive terms is always the same.
Step 2: Look at the first sequence given, which is 1, 3, 5, 7.
Step 3: Calculate the difference between the first two terms: 3 - 1 = 2.
Step 4: Calculate the difference between the second and third terms: 5 - 3 = 2.
Step 5: Calculate the difference between the third and fourth terms: 7 - 5 = 2.
Step 6: Since the difference is the same (2) for all consecutive terms, the sequence 1, 3, 5, 7 is an arithmetic progression.

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