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What kind of sequence is this? 372,363,351,336,–372, –363, –351, –336, \ldots

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Q. What kind of sequence is this? 372,363,351,336,–372, –363, –351, –336, \ldots
  1. Identify Differences: Identify the differences between consecutive terms to determine the pattern.\newlineFirst difference: 363(372)=9-363 - (-372) = 9\newlineSecond difference: 351(363)=12-351 - (-363) = 12\newlineThird difference: 336(351)=15-336 - (-351) = 15
  2. Check Pattern in Differences: Check if the differences form a pattern or sequence themselves.\newlineThe differences between the terms are increasing by 33 each time (99, 1212, 1515...).
  3. Determine Sequence Type: Determine the type of sequence based on the differences.\newlineSince the differences between terms are increasing by a constant amount, this suggests an arithmetic sequence in the differences, indicating that the original sequence is quadratic.

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