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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.\newline16,32,48,64,…16, 32, 48, 64, \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.\newline16,32,48,64,…16, 32, 48, 64, \ldots\newlinean=a_n = _____
  1. Sequence Type: We have: \newline16,32,48,64,…16, 32, 48, 64, \ldots \newlineIs the given sequence geometric or arithmetic? \newline16,32,48,64,…16, 32, 48, 64, \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=16a_1 = 16 \newlineCommon difference, d=32−16=16d = 32 - 16 = 16
  3. Expression for Sequence: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=16a_1 = 16 \newlined=16d = 16 \newlineWrite an expression to describe 1616, 3232, 4848, 6464, ... \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=16+(n−1)×16a_n = 16 + (n-1) \times 16 \newlinean=16+16n−16a_n = 16 + 16n - 16 \newlinean=16na_n = 16n

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