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Which word best describes this formula for the sequence ana_n?\newline\newlinean=9(1)(n3)9a_n = -9(-1)^{(n - 3)} - 9\newline\newlineChoices:\newline(A)explicit\newline(B)recursive\newline

Full solution

Q. Which word best describes this formula for the sequence ana_n?\newline\newlinean=9(1)(n3)9a_n = -9(-1)^{(n - 3)} - 9\newline\newlineChoices:\newline(A)explicit\newline(B)recursive\newline
  1. Look at the formula: Look at the formula: an=9(1)(n3)9a_n = -9(-1)^{(n - 3)} - 9. Does it use previous terms of the sequence to find the nnth term?
  2. Formula analysis: Since the formula only uses the index nn to find the nnth term and doesn't rely on any previous terms, it's not recursive.
  3. Explicit formula: The formula directly calculates the nnth term based on the value of nn, so it's an explicit formula.

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