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.
Tell whether the sequence is arithmetic. If it is, what is the common difference? 19, 12, 5, (1 point) Responses No No Yes; Yes; Image with alt text: one-seventh Yes; 7 Yes; 7 Yes;
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To determine if a sequence is arithmetic and find the common difference, you need to check if there is a consistent pattern of adding or subtracting a specific number to each term.
Let's analyze the given sequence: 10, 15, 21, 28.
To find the common difference, subtract each term from its subsequent term:
15 - 10 = 5
21 - 15 = 6
28 - 21 = 7
As we can see, the differences between consecutive terms are not the same. The first difference (5) is followed by a second difference of 6, and then a third difference of 7, indicating that there is no consistent pattern. Hence, the sequence is not arithmetic.
Therefore, the correct response is: no.