Determine whether each sequence is arithmetic or geometric. Find the next three terms.
1. 2, 4, 6, 8, 10, ...
Arithmetic sequence; 12, 14, 16
2. 5, 10, 20, 40, 80, ...
Geometric sequence; 160, 320, 640
3. -6, -3, 0, 3, 6, ...
Arithmetic sequence; 9, 12, 15
4. 100, 50, 25, 12.5, 6.25, ...
Geometric sequence; 3.125, 1.5625, 0.78125
To determine whether a sequence is arithmetic or geometric, we need to examine the pattern of the numbers in the sequence.
Arithmetic Sequence:
In an arithmetic sequence, the difference between consecutive terms is constant. For example, if the sequence is 2, 5, 8, 11, ..., the common difference is 3.
Geometric Sequence:
In a geometric sequence, each term is obtained by multiplying the previous term by a constant called the common ratio. For example, if the sequence is 3, 9, 27, 81, ..., the common ratio is 3.
Without the specific sequences, it is not possible to determine whether they are arithmetic or geometric. Please provide the sequences so I can assist you further.