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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.\newline25,50,75,100,…25, 50, 75, 100, \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.\newline25,50,75,100,…25, 50, 75, 100, \ldots\newlinean=a_n = _____
  1. Sequence Type: We have the sequence: 25,50,75,100,…25, 50, 75, 100, \ldots\newlineIs the given sequence geometric or arithmetic?\newline25,50,75,100,…25, 50, 75, 100, \ldots\newlineHere, there is a common difference between consecutive terms.\newlineThe given sequence is arithmetic.
  2. Initial Values: Determine the values of a1a_1 and dd of the sequence.\newlineThe first term, a1=25a_1 = 25\newlineCommon difference, d=50−25=25d = 50 - 25 = 25
  3. Arithmetic Formula: We have the formula for the nth term of an arithmetic sequence:\newlinean=a1+(n−1)da_n = a_1 + (n-1)d\newlinea1=25a_1 = 25\newlined=25d = 25\newlineWrite an expression to describe 2525, 5050, 7575, 100100, ...\newlinean=a1+(n−1)da_n = a_1 + (n-1)d\newlinean=25+(n−1)×25a_n = 25 + (n-1) \times 25\newlinean=25+25n−25a_n = 25 + 25n - 25\newlinean=25na_n = 25n

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