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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.\newline98,196,294,392,…98, 196, 294, 392, \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.\newline98,196,294,392,…98, 196, 294, 392, \ldots\newlinean=a_n = _____
  1. Sequence Type: We have: \newline98,196,294,392,…98, 196, 294, 392, \ldots \newlineIs the given sequence geometric or arithmetic? \newline98,196,294,392,…98, 196, 294, 392, \ldots \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=196−98=98d = 196 - 98 = 98
  3. Expression for Sequence: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=98a_1 = 98 \newlined=98d = 98 \newlineWrite an expression to describe 9898, 196196, 294294, 392392, ... \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=98+(n−1)×98a_n = 98 + (n-1) \times 98 \newlinean=98+98n−98a_n = 98 + 98n - 98 \newlinean=98na_n = 98n

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