Algebra-1

To identify which of the given sequences is an arithmetic sequence, we need to determine if the difference between consecutive terms is constant. Here’s a detailed analysis of each sequence:

A. Differences: 3 − 1 = 2,  5 − 3 = 2,  7 − 5 = 2,  9 − 7 = 2

Analysis: The difference between each pair of consecutive terms is consistently 2. Therefore, this sequence has a constant difference and is an arithmetic sequence.

B. Differences: 20 − 10 = 10,  30 − 20 = 10,  45 − 30 = 15,  60 − 45 = 15,

Analysis: The differences are not constant. The first...