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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–73,–146,–219,–292,…\text{–}73, \text{–}146, \text{–}219, \text{–}292, \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–73,–146,–219,–292,…\text{–}73, \text{–}146, \text{–}219, \text{–}292, \ldots\newlinean=a_n = _____
  1. Identify Sequence Type: We have: \newline–7373, –146146, –219219, –292292, ... \newlineIs the given sequence geometric or arithmetic? \newline–7373, –146146, –219219, –292292, ... \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=−73a_1 = -73 \newlineCommon difference, d=−146−(−73)=−73d = -146 - (-73) = -73
  3. Calculate an: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=−73a_1 = -73 \newlined=−73d = -73 \newlineWrite an expression to describe −73,−146,−219,−292,…-73, -146, -219, -292, \ldots \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=−73+(n−1)(−73)a_n = -73 + (n-1)(-73) \newlinean=−73−73n+73a_n = -73 - 73n + 73 \newlinean=−73na_n = -73n

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