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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.\newline66,132,198,264,…66, 132, 198, 264, \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.\newline66,132,198,264,…66, 132, 198, 264, \ldots\newlinean=a_n = _____
  1. Sequence Type: We have: \newline66,132,198,264,…66, 132, 198, 264, \ldots \newlineIs the given sequence geometric or arithmetic? \newline66,132,198,264,…66, 132, 198, 264, \ldots \newlineHere, there is a common difference between consecutive terms.\newlineThe given sequence is arithmetic.
  2. Initial Values: 66,132,198,264,…66, 132, 198, 264, \ldots \newlineDetermine the values of a1a_{1} and dd of the sequence. \newlineThe first term, a1=66a_{1} = 66 \newlineCommon difference, d=132−66=66d = 132 - 66 = 66
  3. Expression Formulation: We have: \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinea1=66a_1 = 66 \newlined=66d = 66 \newlineWrite an expression to describe 6666, 132132, 198198, 264264, ... \newlinean=a1+(n−1)da_n = a_1 + (n-1)d \newlinean=66+(n−1)×66a_n = 66 + (n-1) \times 66 \newlinean=66+66n−66a_n = 66 + 66n - 66 \newlinean=66na_n = 66n

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