Question

Tell whether the sequence is arithmetic if it is what is the common difference -5, -2, 2, 7,

Answer 1

The sequence -5, -2, 2, 7 is not an arithmetic sequence because the differences between consecutive terms (3, 4, and 5) are not constant.

Step-by-step explanation:

To determine whether the sequence -5, -2, 2, 7 is arithmetic, we need to check if the difference between consecutive terms is constant. Let's calculate the difference between the terms:

• Difference between the second and the first term: (-2) - (-5) = 3
• Difference between the third and the second term: 2 - (-2) = 4
• Difference between the fourth and the third term: 7 - 2 = 5

Since the differences are not the same, the sequence is not arithmetic. An arithmetic sequence must have a common difference, which in this case, does not exist.