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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.\newline68,136,204,272,…68, 136, 204, 272, \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.\newline68,136,204,272,…68, 136, 204, 272, \ldots\newlinean=a_n = _____
  1. Sequence Type: We have: \newline68,136,204,272,…68, 136, 204, 272, \ldots \newlineIs the given sequence geometric or arithmetic? \newline68,136,204,272,…68, 136, 204, 272, \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=68a_1 = 68 \newlineCommon difference, d=136−68=68d = 136 - 68 = 68
  3. Expression for Sequence: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=68a_1 = 68 \newlined=68d = 68 \newlineWrite an expression to describe 6868, 136136, 204204, 272272, ... \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=68+(n−1)×68a_n = 68 + (n-1) \times 68 \newlinean=68+68n−68a_n = 68 + 68n - 68 \newlinean=68na_n = 68n

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