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What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
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Q. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
- Arithmetic Sequence Check: An arithmetic sequence is a sequence of numbers such that the difference of any two successive members is a constant. Let's check if the given sequence is arithmetic by finding the difference between successive terms.Difference =
- Arithmetic Sequence Result: Since the difference between any two successive terms is constant ( in this case), the sequence is an arithmetic sequence.
- Geometric Sequence Check: A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Let's check if the given sequence is geometric by finding the ratio between successive terms.Ratio =
- Geometric Sequence Result: Since the ratio between any two successive terms is constant ( in this case), the sequence is also a geometric sequence.
- Overall Sequence Type: Therefore, the sequence is both an arithmetic sequence and a geometric sequence.
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