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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
- Sequence Analysis: To determine the type of sequence, we need to examine the relationship between consecutive terms.Let's look at the ratio of each term to the previous term to see if it's constant, which would indicate a geometric sequence.Ratio of second term to first term: Ratio of third term to second term: Ratio of fourth term to third term:
- Geometric Sequence Identification: Since the ratio between consecutive terms is constant and equal to , this indicates that the sequence is a geometric sequence.An arithmetic sequence would have a constant difference between terms, which is not the case here.
- Matching with Choices: Now we can match our finding with the given choices.(A) arithmetic - Incorrect, as the difference is not constant.(B) geometric - Correct, as the ratio is constant.(C) both - Incorrect, as it cannot be both arithmetic and geometric.(D) neither - Incorrect, as it is geometric.
