Q. What kind of sequence is this?253,240,230,223,…Choices:(A) arithmetic(B) geometric(C) both(D) neither
Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 253,240,230,223,…Are the consecutive differences in the sequence equal? 240−253=−13, 230−240=−10, 223−230=−7.The consecutive differences in the sequence are not equal.
Check Equal Ratios: Let's check whether the ratios between consecutive terms are equal. Given sequence: 253,240,230,223,…Are the ratios between consecutive terms in the sequence equal? 253240≈0.9494, 240230≈0.9583, 230223≈0.9696.The sequence does not have a common ratio.
Sequence Type: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. 253,240,230,223,… What type of sequence is this? The sequence has neither a common difference nor a common ratio. It's neither an arithmetic sequence nor a geometric sequence.
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