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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.\newline23,46,69,92,…23, 46, 69, 92, \ldots\newline_____

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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.\newline23,46,69,92,…23, 46, 69, 92, \ldots\newline_____
  1. Calculate Difference: First, let's look at the difference between the terms in the sequence. \newline46−23=2346 - 23 = 23, 69−46=2369 - 46 = 23, and 92−69=2392 - 69 = 23.\newlineSo, the common difference is 2323.
  2. Write Expression for nth Term: Now, we can write the expression for the nnth term of an arithmetic sequence.\newlineThe formula is an=a1+(n−1)da_n = a_1 + (n - 1)d, where ana_n is the nnth term, a1a_1 is the first term, and dd is the common difference.
  3. Plug in Values: Let's plug in the values we know into the formula. \newlinea1a_1 is 2323 (the first term) and dd is 2323 (the common difference).\newlineSo, the expression for the nth term is an=23+(n−1)×23a_n = 23 + (n - 1) \times 23.
  4. Simplify Expression: Simplify the expression. an=23+23n−23a_n = 23 + 23n - 23.

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