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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
- Pattern Analysis: To determine the type of sequence, we need to look at the pattern of the numbers. Let's check the difference between consecutive terms.Calculation:
- Constant Difference: Since the difference between consecutive terms is constant, this indicates that the sequence is an arithmetic sequence.
- Arithmetic Sequence Definition: An arithmetic sequence is defined by having a constant difference between terms, which we have established is in this case. This does not fit the definition of a geometric sequence, which requires each term to be obtained by multiplying the previous term by a constant factor.
- Sequence Type Determination: Therefore, the sequence is arithmetic, and the correct choice is arithmetic.
