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Which word best describes this formula for the sequence ana_n?\newline\newlinean=7(9)(n+3)+7a_n = 7(-9)^{(n + 3)} + 7\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=7(9)(n+3)+7a_n = 7(-9)^{(n + 3)} + 7\newline\newlineChoices:\newline(A)explicit\newline(B)recursive\newline
  1. Identify Formula: Look at the formula: an=7(9)(n+3)+7a_n = 7(-9)^{(n + 3)} + 7. Does it use previous terms of the sequence to find the nnth term?
  2. Determine Use of Previous Terms: No, it doesn't use previous terms. It calculates the nnth term using the index nn directly.
  3. Confirm Explicit Formula: So, since the formula gives the nnth term directly without needing previous terms, it's an explicit formula.
  4. Correct Description: Choice (A) explicit is the correct description for the formula an=7(9)(n+3)+7a_n = 7(-9)^{(n + 3)} + 7.

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