Determine whether sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence.
3, 9, 27, 81, . . .
This sequence
Question Blank 1 of 3
is not
an arithmetic sequence. The common difference is
Question Blank 2 of 3
type your answer...
. The next three terms
Question Blank 3 of 3
choose your answer...
.
This sequence does not appear to be an arithmetic sequence. The common difference cannot be determined. The next three terms cannot be determined.
This sequence is not an arithmetic sequence. The common difference is [type your answer...]. The next three terms [choose your answer...].
To determine whether a sequence is an arithmetic sequence, we need to check if the difference between consecutive terms is constant.
In this case, let's calculate the differences between consecutive terms:
9 - 3 = 6
27 - 9 = 18
81 - 27 = 54
As we can see, the differences are not constant. The difference between the first two terms is 6, the difference between the second and third term is 18, and the difference between the third and fourth term is 54. Since the differences are not the same, the sequence is not an arithmetic sequence.
Thus, we cannot find a common difference for this sequence (Question Blank 2).
As for the next three terms, since the sequence is not arithmetic, we cannot predict the specific values for the next terms (Question Blank 3).