Tell whether the sequence is arithmetic. If it is what is the common difference? 10,15,21,28
The given sequence is not arithmetic because the differences between consecutive terms are not constant.
To determine the common difference in an arithmetic sequence, we calculate the difference between any two consecutive terms.
Difference between 10 and 15: 15 - 10 = 5
Difference between 15 and 21: 21 - 15 = 6
Difference between 21 and 28: 28 - 21 = 7
Since the differences are not constant, the sequence does not have a common difference, which means it is not arithmetic.