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Which word best describes this formula for the sequence ana_n?\newlinean=9(45)n38a_n = -9\left(\frac{4}{5}\right)^{n - 3} - 8\newlineChoices:\newline(A) explicit\newline(B) recursive

Full solution

Q. Which word best describes this formula for the sequence ana_n?\newlinean=9(45)n38a_n = -9\left(\frac{4}{5}\right)^{n - 3} - 8\newlineChoices:\newline(A) explicit\newline(B) recursive
  1. Check Formula: Look at the formula: an=9(45)n38a_n = -9\left(\frac{4}{5}\right)^{n - 3} - 8. 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 only the index nn.
  3. Identify Explicit Formula: Since the formula gives the nnth term directly without needing previous terms, it's an explicit formula.

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