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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.\newline22,44,66,88,…22, 44, 66, 88, \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.\newline22,44,66,88,…22, 44, 66, 88, \ldots\newlinean=a_n = _____
  1. Sequence Type: We have: \newline22,44,66,88,…22, 44, 66, 88, \ldots \newlineIs the given sequence geometric or arithmetic? \newline22,44,66,88,…22, 44, 66, 88, \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=22a_1 = 22 \newlineCommon difference, d=44−22=22d = 44 - 22 = 22
  3. Expression for Sequence: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=22a_1 = 22 \newlined=22d = 22 \newlineWrite an expression to describe 2222, 4444, 6666, 8888, ... \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=22+(n−1)×22a_n = 22 + (n-1) \times 22 \newlinean=22+22n−22a_n = 22 + 22n - 22 \newlinean=22na_n = 22n

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