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What kind of sequence is this?\newline960,960,960,960,…960, 960, 960, 960, \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?\newline960,960,960,960,…960, 960, 960, 960, \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: 960,960,960,960,ext...960, 960, 960, 960, ext{...} Are the consecutive differences in the sequence equal? 960−960=0960 - 960 = 0, 960−960=0960 - 960 = 0, 960−960=0960 - 960 = 0. The consecutive differences in the sequence are equal and are all zero.
  2. Check Ratios Between Terms: Let's check whether the ratios between consecutive terms are equal. Given sequence: 960,960,960,960,ext...960, 960, 960, 960, ext{...} Are the ratios between consecutive terms in the sequence equal? 960/960=1960 / 960 = 1, 960/960=1960 / 960 = 1, 960/960=1960 / 960 = 1. Yes, the sequence has a common ratio of 11.
  3. Sequence Type Analysis: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. 960,960,960,960,...960, 960, 960, 960, ... What type of sequence is this? The sequence has a common difference of 00 and a common ratio of 11. It satisfies the conditions for both an arithmetic and a geometric sequence.

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