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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=−6n+25a = -6n + 25\newlinea=a = ______

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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=−6n+25a = -6n + 25\newlinea=a = ______
  1. Identify Type: Identify if the given sequence is geometric or arithmetic.\newlineThe explicit formula a=−6n+25a = -6n + 25 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=−6(1)+25a_1 = -6(1) + 25\newline=−6+25= -6 + 25\newline=19= 19
  3. Find Second Term: Find the second term of the sequence using the explicit formula.\newlinea2=−6(2)+25a_2 = -6(2) + 25\newline=−12+25= -12 + 25\newline=13= 13
  4. Find Common Difference: Find the common difference in the arithmetic sequence.\newlined=a2−a1d = a_2 - a_1\newline=13−19= 13 - 19\newline=−6= -6
  5. Write Recursive Formula: Write the recursive formula by plugging in the value of the common difference.\newlineSubstitute −6-6 for dd in an=a(n−1)+da_n = a_{(n - 1)} + d.\newlinean=a(n−1)−6a_n = a_{(n - 1)} - 6

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