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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=13n−36a_n = 13n - 36\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=13n−36a_n = 13n - 36\newlinean=_a_n = \_
  1. Find first term a1a_1: We start by finding the first term a1a_1 by plugging n=1n = 1 into the explicit formula.\newlinea1=13(1)−36=13−36=−23a_1 = 13(1) - 36 = 13 - 36 = -23.
  2. Find second term a2a_2: Next, we find the second term a2a_2 by plugging n=2n = 2 into the explicit formula.a2=13(2)−36=26−36=−10.a_2 = 13(2) - 36 = 26 - 36 = -10.
  3. Calculate common difference dd: Now, we calculate the common difference dd by subtracting a1a_1 from a2a_2.d=a2−a1=−10−(−23)=−10+23=13d = a_2 - a_1 = -10 - (-23) = -10 + 23 = 13.
  4. Use recursive formula: The recursive formula for an arithmetic sequence is an=an−1+da_n = a_{n-1} + d. We substitute d=13d = 13 into this formula.\newlinean=an−1+13a_n = a_{n-1} + 13.

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