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What is the next term of the arithmetic sequence?

-6,-3,0,3,6", "

What is the next term of the arithmetic sequence? \newline6,3,0,3,6-6, -3, 0, 3, 6

Full solution

Q. What is the next term of the arithmetic sequence? \newline6,3,0,3,6-6, -3, 0, 3, 6
  1. Identify Sequence Type: Identify the type of sequence.\newlineThe sequence 6-6, 3-3, 00, 33, 66 appears to have a constant difference between consecutive terms, which suggests it is an arithmetic sequence.
  2. Determine Common Difference: Determine the common difference in the arithmetic sequence.\newlineTo find the common difference, subtract a term from the term that follows it. For example, -3 - (-6) = 3").\(\newlineCommon Difference: \$3\)
  3. Find Next Term: Find the next term in the sequence.\(\newline\)To find the next term, add the common difference to the last term in the sequence. So, \(6 + 3 = 9\).

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