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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=−10n−21a_n = -10n - 21\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=−10n−21a_n = -10n - 21\newlinean=_a_n = \_
  1. Write Terms of Sequence: Write down the first few terms of the sequence by substituting n=1,2,3n = 1, 2, 3, and so on.\newlinea1=−10(1)−21=−31a_1 = -10(1) - 21 = -31\newlinea2=−10(2)−21=−41a_2 = -10(2) - 21 = -41\newlinea3=−10(3)−21=−51a_3 = -10(3) - 21 = -51
  2. Determine Common Difference: Notice the pattern between consecutive terms to determine the common difference.\newlinea2−a1=−41−(−31)=−10a_2 - a_1 = -41 - (-31) = -10\newlinea3−a2=−51−(−41)=−10a_3 - a_2 = -51 - (-41) = -10\newlineThe common difference is −10-10.
  3. Write Recursive Formula: Use the common difference to write the recursive formula. an=an−1−10a_n = a_{n-1} - 10

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