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Answer :
To determine the type of each sequence, we look at the differences or ratios between consecutive terms:
1. Sequence: 98.3, 941, 899, 857
- This sequence is neither arithmetic nor geometric. An arithmetic sequence has a constant difference between terms, and a geometric sequence has a constant ratio. In this case, none of these conditions is met.
2. Sequence: 1, 0, -1, 0
- This sequence is neither arithmetic nor geometric. It repeats a pattern without a constant difference or ratio.
3. Sequence: 175, 35, 7.14
- This sequence is neither arithmetic nor geometric. For an arithmetic sequence, there is no consistent subtraction between terms. For a geometric sequence, there is no consistent multiplication factor.
4. Sequence: -12, -10.8, -9.6, -8.4
- This sequence is neither arithmetic nor geometric. It does not maintain consistent arithmetic differences or geometric ratios.
5. Sequence: -1, 1, -1, 1
- This sequence is geometric. It alternates consistently, and the ratio between consecutive terms is -1, indicating a geometric pattern.
Summary:
- The sequence -1, 1, -1, 1 is geometric.
- All other sequences are neither arithmetic nor geometric.
1. Sequence: 98.3, 941, 899, 857
- This sequence is neither arithmetic nor geometric. An arithmetic sequence has a constant difference between terms, and a geometric sequence has a constant ratio. In this case, none of these conditions is met.
2. Sequence: 1, 0, -1, 0
- This sequence is neither arithmetic nor geometric. It repeats a pattern without a constant difference or ratio.
3. Sequence: 175, 35, 7.14
- This sequence is neither arithmetic nor geometric. For an arithmetic sequence, there is no consistent subtraction between terms. For a geometric sequence, there is no consistent multiplication factor.
4. Sequence: -12, -10.8, -9.6, -8.4
- This sequence is neither arithmetic nor geometric. It does not maintain consistent arithmetic differences or geometric ratios.
5. Sequence: -1, 1, -1, 1
- This sequence is geometric. It alternates consistently, and the ratio between consecutive terms is -1, indicating a geometric pattern.
Summary:
- The sequence -1, 1, -1, 1 is geometric.
- All other sequences are neither arithmetic nor geometric.
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