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Use the explicit formula to find a recursive formula for the sequence ana_n. Write your answer in simplest form.\newlineThe recursive formula should depend on an−1a_{n - 1}.\newlinean=14n−23a_n = 14n - 23\newlinean=a_n = ______

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Q. Use the explicit formula to find a recursive formula for the sequence ana_n. Write your answer in simplest form.\newlineThe recursive formula should depend on an−1a_{n - 1}.\newlinean=14n−23a_n = 14n - 23\newlinean=a_n = ______
  1. Calculate first term: Calculate the first term a1a_1 using the explicit formula.\newlinea1=14(1)−23a_1 = 14(1) - 23\newlinea1=14−23a_1 = 14 - 23\newlinea1=−9a_1 = -9
  2. Calculate second term: Calculate the second term a2a_2 using the explicit formula.\newlinea2=14(2)−23a_2 = 14(2) - 23\newlinea2=28−23a_2 = 28 - 23\newlinea2=5a_2 = 5
  3. Find common difference: Find the common difference dd by subtracting a1a_1 from a2a_2.\newlined=a2−a1d = a_2 - a_1\newlined=5−(−9)d = 5 - (-9)\newlined=5+9d = 5 + 9\newlined=14d = 14
  4. Write recursive formula: Write the recursive formula using the common difference dd.an=an−1+da_n = a_{n-1} + dan=an−1+14a_n = a_{n-1} + 14

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