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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–57,–114,–171,–228,…–57, –114, –171, –228, \dots\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–57,–114,–171,–228,…–57, –114, –171, –228, \dots\newlinean=a_n = _____
  1. Sequence Type: We have: \newline–5757, –114114, –171171, –228228, ... \newlineIs the given sequence geometric or arithmetic? \newline–5757, –114114, –171171, –228228, ... \newlineHere, there is a common difference between consecutive terms.\newlineThe given sequence is arithmetic.
  2. Find a1a_1 and dd: Determine the values of a1a_1 and dd of the sequence. \newlineThe first term, a1=−57a_1 = -57 \newlineCommon difference, d=−114−(−57)=−57d = -114 - (-57) = -57
  3. Expression for Sequence: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=−57a_1 = -57 \newlined=−57d = -57 \newlineWrite an expression to describe −57,−114,−171,−228,…-57, -114, -171, -228, \ldots \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=−57+(n−1)×(−57)a_n = -57 + (n-1) \times (-57) \newlinean=−57−57n+57a_n = -57 - 57n + 57 \newlinean=−57na_n = -57n

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