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What kind of sequence is this?\newline626,626,626,626,626, 626, 626, 626, \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?\newline626,626,626,626,626, 626, 626, 626, \dots\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: 626,626,626,626,ext...626, 626, 626, 626, ext{...} Calculate the differences: 626626=0626 - 626 = 0, 626626=0626 - 626 = 0, 626626=0626 - 626 = 0. All differences are 00.
  2. Check Ratios Consistent: Check if the ratios between consecutive terms are consistent. Given sequence: 626,626,626,626,extellipsis626, 626, 626, 626, extellipsis Calculate the ratios: 626/626=1626 / 626 = 1, 626/626=1626 / 626 = 1, 626/626=1626 / 626 = 1. All ratios are 11.
  3. Determine Sequence Type: Determine the type of sequence. An arithmetic sequence has a constant difference between terms, which is 00 here. A geometric sequence has a constant ratio between terms, which is 11 here. Therefore, the sequence is both arithmetic and geometric.

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