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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.\newline8,9,10,11,…8, 9, 10, 11, \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.\newline8,9,10,11,…8, 9, 10, 11, \ldots\newlinean=a_n = _____
  1. Identify Sequence Type: We have: \newline8,9,10,11,…8, 9, 10, 11, \ldots \newlineIs the given sequence geometric or arithmetic? \newline8,9,10,11,…8, 9, 10, 11, \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=8a_1 = 8 \newlineCommon difference, d=9−8=1d = 9 - 8 = 1
  3. Write Expression for Sequence: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=8a_1 = 8 \newlined=1d = 1 \newlineWrite an expression to describe 88, 99, 1010, 1111, ... \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=8+(n−1)×1a_n = 8 + (n-1) \times 1 \newlinean=8+n−1a_n = 8 + n - 1 \newlinean=n+7a_n = n + 7

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