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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.\newline–2,–4,–6,–8,…–2, –4, –6, –8, \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.\newline–2,–4,–6,–8,…–2, –4, –6, –8, \ldots\newline_____
  1. Find Pattern: Look at the sequence to find the pattern; each term decreases by 22. So the nnth term is 22 less than the previous term, starting at −2-2 for n=1n=1.
  2. Write Expression: To write an expression for the nnth term, start with the first term and subtract 22 for each subsequent term. Since the first term is −2-2 when n=1n=1, we subtract 22 times (n−1)(n-1) to find the nnth term.
  3. Simplify Expression: The expression for the nnth term is −2−2(n−1)-2 - 2(n - 1). Simplify the expression.
  4. Combine Terms: Simplify the expression to get −2−2n+2-2 - 2n + 2.
  5. Final Expression: Combine like terms to get the final expression for the nth term, which is −2n-2n.

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