Which of the following sequences is an arithmetic progression?
Practice Questions
Q1
Which of the following sequences is an arithmetic progression?
2, 4, 8, 16
1, 3, 5, 7
5, 10, 15, 25
3, 6, 9, 12
Questions & Step-by-Step Solutions
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.