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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.\newline25,26,27,28,…25, 26, 27, 28, \ldots\newline_____\_\_\_\_\_

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Write variable expressions for arithmetic sequencesright chevron icon

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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.\newline25,26,27,28,…25, 26, 27, 28, \ldots\newline_____\_\_\_\_\_
  1. Identify pattern: To find the expression for the sequence, we start by identifying the pattern. The sequence is increasing by 11 each time. So, the common difference is 11.
  2. Write nth term expression: Since the first term when n=1n=1 is 2525, we can write the nth term as the first term plus the common difference times (n−1)(n-1). So, the expression is 25+(n−1)×125 + (n - 1) \times 1.
  3. Simplify expression: Simplify the expression to get the final form. 25+(n−1)×125 + (n - 1) \times 1 simplifies to 25+n−125 + n - 1.
  4. Combine like terms: Further simplifying, we combine like terms to get the final expression: 24+n24 + n.

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