Q. What kind of sequence is this?665,665,665,665,…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. To determine if this is an arithmetic sequence, we need to check if the difference between consecutive terms is constant.Calculation: 665−665=0
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 constant ratio. To determine if this is a geometric sequence, we need to check if the ratio between consecutive terms is constant.Calculation: 665665=1
Arithmetic Sequence Result: Since the difference between consecutive terms is 0, it satisfies the condition for an arithmetic sequence where the common difference is 0.
Geometric Sequence Result: Since the ratio between consecutive terms is 1, it satisfies the condition for a geometric sequence where the common ratio is 1.
Overall Sequence Classification: Therefore, the sequence 665,665,665,665,ext... is both an arithmetic sequence with a common difference of 0 and a geometric sequence with a common ratio of 1.
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