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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=17n−6a_n = 17n - 6\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=17n−6a_n = 17n - 6\newlinean=_a_n = \_
  1. Find a1a_1: Substitute n=1n = 1 into the explicit formula to find the first term a1a_1.\newlinea1=17(1)−6=17−6=11a_1 = 17(1) - 6 = 17 - 6 = 11.
  2. Find a2a_2: Substitute n=2n = 2 into the explicit formula to find the second term a2a_2.\newlinea2=17(2)−6=34−6=28a_2 = 17(2) - 6 = 34 - 6 = 28.
  3. Find common difference: Find the common difference dd by subtracting a1a_1 from a2a_2.d=a2−a1=28−11=17d = a_2 - a_1 = 28 - 11 = 17.
  4. Write recursive formula: Write the recursive formula using the common difference. an=an−1+da_n = a_{n - 1} + d.
  5. Substitute common difference: Substitute the value of dd into the recursive formula.an=a(n−1)+17.a_n = a_{(n - 1)} + 17.

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