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What kind of sequence is this?\newline18,18,18,18,…18, 18, 18, 18, \ldots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. What kind of sequence is this?\newline18,18,18,18,…18, 18, 18, 18, \ldots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Check Differences Uniform: Check if the differences between consecutive terms are uniform. Given sequence: 18,18,18,18,…18, 18, 18, 18, \ldots Are the consecutive differences in the sequence equal? 18−18=018 - 18 = 0, 18−18=018 - 18 = 0, 18−18=018 - 18 = 0. The consecutive differences in the sequence are equal and are all zero.
  2. Check Ratios Defined: Check whether the ratios between consecutive terms are defined and equal. Given sequence: 18,18,18,18,ext...18, 18, 18, 18, ext{...} Are the ratios between consecutive terms in the sequence equal? Since all terms are the same, the ratio of any term to the previous term is 18/18=118 / 18 = 1. The sequence has a common ratio of 11.
  3. Determine Sequence Type: Determine the type of sequence. An arithmetic sequence has a common difference between consecutive terms. A geometric sequence has a common ratio between consecutive terms. Since the sequence has both a common difference of 00 and a common ratio of 11, it qualifies as both an arithmetic and a geometric sequence.

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