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Use the explicit formula to find a recursive formula for the sequence aa. Write your answer in simplest form.\newlineThe recursive formula should depend on aa.\newlinea=−7n+16a = -7n + 16\newlinea = ______

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Q. Use the explicit formula to find a recursive formula for the sequence aa. Write your answer in simplest form.\newlineThe recursive formula should depend on aa.\newlinea=−7n+16a = -7n + 16\newlinea = ______
  1. Identify Sequence Type: Identify if the given sequence is geometric or arithmetic.\newlineThe explicit formula a=−7n+16a = -7n + 16 does not involve any exponent terms, which indicates that the sequence is arithmetic.
  2. Find First Term: Find the first term of the sequence using the explicit formula.\newlinea1=−7(1)+16a_1 = -7(1) + 16\newline=−7+16= -7 + 16\newline=9= 9
  3. Find Second Term: Find the second term of the sequence using the explicit formula.\newlinea2=−7(2)+16a_2 = -7(2) + 16\newline=−14+16= -14 + 16\newline=2= 2
  4. Find Common Difference: Find the common difference in the arithmetic sequence.\newlined=a2−a1d = a_2 - a_1\newline=2−9= 2 - 9\newline=−7= -7
  5. Write Recursive Formula: Write the recursive formula by plugging in the value of the common difference.\newlineSubstitute −7-7 for dd in an=a(n−1)+da_n = a_{(n - 1)} + d.\newlinean=a(n−1)−7a_n = a_{(n - 1)} - 7

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