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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–54,–108,–162,–216,…–54, –108, –162, –216, \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–54,–108,–162,–216,…–54, –108, –162, –216, \ldots\newlinean=a_n = _____
  1. Sequence Type: We have: \newline–5454, –108108, –162162, –216216, ... \newlineIs the given sequence geometric or arithmetic? \newline–5454, –108108, –162162, –216216, ... \newlineHere, there is a common difference between consecutive terms.\newlineThe given sequence is arithmetic.
  2. Initial Values: Determine the values of a1a_1 and dd of the sequence. \newlineThe first term, a1=−54a_1 = -54 \newlineCommon difference, d=−108−(−54)=−54d = -108 - (-54) = -54
  3. Expression Formulation: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=−54a_1 = -54 \newlined=−54d = -54 \newlineWrite an expression to describe −54,−108,−162,−216,…-54, -108, -162, -216, \ldots \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=−54+(n−1)×(−54)a_n = -54 + (n-1) \times (-54) \newlinean=−54−54n+54a_n = -54 - 54n + 54 \newlinean=−54na_n = -54n

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