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Write an expression to describe the sequence below. Use nn to represent the position of a term in the sequence, where n=1n = 1 for the first term.\newline–32,–31,–30,–29,…–32, –31, –30, –29, \ldots\newlinean=a_n = _____

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Q. Write an expression to describe the sequence below. Use nn to represent the position of a term in the sequence, where n=1n = 1 for the first term.\newline–32,–31,–30,–29,…–32, –31, –30, –29, \ldots\newlinean=a_n = _____
  1. Sequence Type: We have: \newline–3232, –3131, –3030, –2929, ... \newlineIs the given sequence geometric or arithmetic? \newline–3232, –3131, –3030, –2929, ... \newlineHere, there is a common difference between consecutive terms.\newlineThe given sequence is arithmetic.
  2. Values Determination: Determine the values of a1a_1 and dd of the sequence. \newlineThe first term, a1=−32a_1 = -32 \newlineCommon difference, d=−31−(−32)=1d = -31 - (-32) = 1
  3. Expression Writing: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=−32a_1 = -32 \newlined=1d = 1 \newlineWrite an expression to describe −32,−31,−30,−29,...-32, -31, -30, -29, ... \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=−32+(n−1)×1a_n = -32 + (n-1) \times 1 \newlinean=−32+n−1a_n = -32 + n - 1 \newlinean=n−33a_n = n - 33

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