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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.\newline9,10,11,12,…9, 10, 11, 12, \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.\newline9,10,11,12,…9, 10, 11, 12, \ldots\newlinean=a_n = _____
  1. Sequence Type: We have the sequence: 9,10,11,12,…9, 10, 11, 12, \ldots\newlineIs the given sequence geometric or arithmetic?\newline9,10,11,12,…9, 10, 11, 12, \ldots\newlineHere, there is a common difference between consecutive terms.\newlineThe given sequence is arithmetic.
  2. Determine Values: Determine the values of a1a_1 and dd of the sequence.\newlineThe first term, a1=9a_1 = 9\newlineCommon difference, d=10−9=1d = 10 - 9 = 1
  3. Arithmetic Formula: We have the formula for the nnth term of an arithmetic sequence: an=a1+(n−1)da_n = a_1 + (n-1)d a1=9a_1 = 9 d=1d = 1 Write an expression to describe 9,10,11,12,…9, 10, 11, 12, \ldots an=9+(n−1)×1a_n = 9 + (n-1) \times 1 an=9+n−1a_n = 9 + n - 1 an=n+8a_n = n + 8

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