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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 in which each term after the first is obtained by adding a constant difference to the previous term. Let's check if the given sequence is arithmetic by finding the difference between consecutive terms.
- Arithmetic Sequence Explanation: Since the difference between consecutive terms is , which is constant, the sequence is an arithmetic sequence because each term is obtained by adding to the previous term.
- Geometric Sequence Check: A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. Let's check if the given sequence is geometric by finding the ratio between consecutive terms.
- Geometric Sequence Explanation: Since the ratio between consecutive terms is , which is constant, the sequence is also a geometric sequence because each term is obtained by multiplying the previous term by .
