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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–98,–97,–96,–95,…–98, –97, –96, –95, \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–98,–97,–96,–95,…–98, –97, –96, –95, \ldots\newlinean=a_n = _____
  1. Identify Sequence Type: We have: \newline–9898, –9797, –9696, –9595, ... \newlineIs the given sequence geometric or arithmetic? \newline–9898, –9797, –9696, –9595, ... \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=−98a_1 = -98 \newlineCommon difference, d=−97−(−98)=1d = -97 - (-98) = 1
  3. Calculate an: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=−98a_1 = -98 \newlined=1d = 1 \newlineWrite an expression to describe −98,−97,−96,−95,…-98, -97, -96, -95, \ldots \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=−98+(n−1)×1a_n = -98 + (n-1) \times 1 \newlinean=−98+n−1a_n = -98 + n - 1 \newlinean=n−99a_n = n - 99

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