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What kind of sequence is this?\newline1,1,2,3,1, 1, 2, 3, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. What kind of sequence is this?\newline1,1,2,3,1, 1, 2, 3, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 1,1,2,3,1, 1, 2, 3, \ldots\newlineAre the consecutive differences in the sequence equal? 11=01-1 = 0, 21=12-1 = 1, 32=13-2 = 1.\newlineThe consecutive differences in the sequence are not equal.
  2. Check Equal Ratios: Let's check whether the ratios between consecutive terms are equal. Given sequence: 1,1,2,3,1, 1, 2, 3, \ldots\newlineAre the ratios between consecutive terms in the sequence equal? Since the first term is 11, we cannot calculate the ratio for the first pair (1/1=1)(1/1 = 1). Let's check the next pairs: 2/1=22 / 1 = 2, 3/2=1.53 / 2 = 1.5.\newlineThe sequence does not have a common ratio.
  3. Sequence Type: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. 1,1,2,3,1, 1, 2, 3, \ldots What type of sequence is this?\newlineThe sequence has no common difference and no common ratio. It's neither an arithmetic sequence nor a geometric sequence.

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