Tell whether the sequence is arithmetic. If it is, what is the common difference?
10, 15, 21, 28, . . .
(1 point)
Responses
yes; 5
yes; 5
yes; 6
yes; 6
yes; 7
yes; 7
no
No, the sequence is not arithmetic.
To determine if the sequence 10, 15, 21, 28, ... is arithmetic, we need to check if there is a common difference between consecutive terms.
To find the difference between consecutive terms, we subtract the previous term from the current term.
For example,
15 - 10 = 5
21 - 15 = 6
28 - 21 = 7
The differences between consecutive terms are not the same, meaning the sequence is not arithmetic.