Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. –10, –20, –30, –40, ... an = Submit

Answer 1

To describe the given sequence \(-10, -20, -30, -40, \ldots\) in terms of \(n\), we can observe the pattern. Each term is decreasing by 10, and the first term corresponds to \(n = 1\).

The general formula for the \(n\)-th term of this arithmetic sequence can be expressed as:

\[ a_n = -10n \]

where \(n\) represents the position of the term in the sequence.