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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=−9n−44a = -9n - 44\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=−9n−44a = -9n - 44\newlinea = ______
  1. Identify Sequence Type: Identify if the given sequence is geometric or arithmetic.\newlineThe explicit formula a=−9n−44a = -9n - 44 involves a linear term in nn and no exponent terms, indicating that the sequence is arithmetic.
  2. Find First Term: Find the first term of the sequence using the explicit formula.\newlinea1=−9(1)−44a_1 = -9(1) - 44\newline=−9−44= -9 - 44\newline=−53= -53
  3. Find Second Term: Find the second term of the sequence using the explicit formula.\newlinea2=−9(2)−44a_2 = -9(2) - 44\newline=−18−44= -18 - 44\newline=−62= -62
  4. Find Common Difference: Find the common difference in the arithmetic sequence. \newlined=a2−a1d = a_2 - a_1\newline=−62−(−53)= -62 - (-53)\newline=−62+53= -62 + 53\newline=−9= -9
  5. Write Recursive Formula: Write the recursive formula by plugging in the value of the common difference.\newlineSubstitute −9-9 for dd in an=a(n−1)+da_n = a_{(n - 1)} + d.\newlinean=a(n−1)−9a_n = a_{(n - 1)} - 9

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