Identify each sequence as arithmetic, geometric, both, or neither.
7, 9, 11, 13, . . .
A. arithmetic
B. geometric
C. both
D. neither
A. arithmetic
Identify each sequence as arithmetic, geometric, both, or neither.
2, 1, one-half, one-fourth, . . .
A. arithmetic
B. geometric
C. both
D. neither
B. geometric
Write a rule for the sequence.
1, 2, 4, 8, . . .
A. Start with 1 and then add 1 repeatedly.
B. Start with 1 and then add multiples of 2 repeatedly.
C. Start with 1 and then multiply by 2 repeatedly.
D. Start with 1 and then divide by 2 repeatedly.
C. Start with 1 and then multiply by 2 repeatedly.
To identify whether the given sequence is arithmetic, geometric, both, or neither, we need to analyze the pattern of the sequence.
In the given sequence 7, 9, 11, 13, ... we can observe that each term increases by 2. This indicates that there is a common difference between consecutive terms.
Since this sequence has a common difference, it fits the definition of an arithmetic sequence. An arithmetic sequence is a sequence where the difference between any two consecutive terms is constant.
Therefore, the correct answer is:
A. arithmetic