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Which word best describes this formula for the sequence ana_n?\newlinean=85n3−24a_n = 85n^3 - 24\newlineChoices:\newline(A) explicit\newline(B) recursive

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Full solution

Q. Which word best describes this formula for the sequence ana_n?\newlinean=85n3−24a_n = 85n^3 - 24\newlineChoices:\newline(A) explicit\newline(B) recursive
  1. Check Formula: Look at the formula: an=85n3−24a_n = 85n^3 - 24. Does it use previous terms of the sequence to find the nnth term?
  2. Determine Use: No, it doesn't use previous terms. It calculates the nnth term using the index nn directly.
  3. Identify Explicit Formula: So, since the formula gives the nnth term directly without needing previous terms, it's an explicit formula.

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