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What kind of sequence is this? −27,−9,9,27,… -27, -9, 9, 27, \ldots

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Full solution

Q. What kind of sequence is this? −27,−9,9,27,… -27, -9, 9, 27, \ldots
  1. Identify pattern: Identify the pattern between consecutive terms.\newlineTo find the pattern, calculate the difference between consecutive terms:\newlineDifference between −9-9 and −27-27 = −9−(−27)=18-9 - (-27) = 18,\newlineDifference between 99 and −9-9 = 9−(−9)=189 - (-9) = 18,\newlineDifference between 2727 and 99 = 27−9=1827 - 9 = 18.
  2. Determine sequence type: Determine the type of sequence. Since the difference between consecutive terms is constant 1818, the sequence is an arithmetic sequence.

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