Q. What kind of sequence is this?1,1,2,3,…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: 1,1,2,3,…Are the consecutive differences in the sequence equal? 1−1=0, 2−1=1, 3−2=1.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: 1,1,2,3,…Are the ratios between consecutive terms in the sequence equal? Since the first term is 1, we cannot calculate the ratio for the first pair (1/1=1). Let's check the next pairs: 2/1=2, 3/2=1.5.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. 1,1,2,3,… What type of sequence is this?The sequence has no common difference and no common ratio. It's neither an arithmetic sequence nor a geometric sequence.
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