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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.\newline67,134,201,268,…67, 134, 201, 268, \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.\newline67,134,201,268,…67, 134, 201, 268, \ldots\newlinean=a_n = _____
  1. Sequence Type: We have: \newline67,134,201,268,…67, 134, 201, 268, \ldots \newlineIs the given sequence geometric or arithmetic? \newline67,134,201,268,…67, 134, 201, 268, \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=67a_1 = 67 \newlineCommon difference, d=134−67=67d = 134 - 67 = 67
  3. Expression for Sequence: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=67a_1 = 67 \newlined=67d = 67 \newlineWrite an expression to describe 6767, 134134, 201201, 268268, ... \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=67+(n−1)×67a_n = 67 + (n-1) \times 67 \newlinean=67+67n−67a_n = 67 + 67n - 67 \newlinean=67na_n = 67n

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