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Which word best describes this formula for the sequence an a_n ?\newlinean=6(1/7)(n+4)+1 a_n = -6(-1/7)^{(n + 4)} + 1 \newlineChoices:\newline[A]explicit\text{[A]explicit}\newline[B]recursive\text{[B]recursive}

Full solution

Q. Which word best describes this formula for the sequence an a_n ?\newlinean=6(1/7)(n+4)+1 a_n = -6(-1/7)^{(n + 4)} + 1 \newlineChoices:\newline[A]explicit\text{[A]explicit}\newline[B]recursive\text{[B]recursive}
  1. Check Formula: Look at the formula: an=6(1/7)(n+4)+1a_n = -6(-1/7)^{(n + 4)} + 1. Does it use previous terms of the sequence to find the nnth term?
  2. No Previous Terms: No, it doesn't use previous terms. It calculates the nnth term using only the index nn.
  3. Explicit Formula: Since the formula gives the nnth term directly without needing previous terms, it's called an explicit formula.

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