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. –77, –154, –231, –308, ... an = _____

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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.  –77, –154, –231, –308, ...  an = _____

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Identify Sequence Type: Identify the type of sequence. We have: –77, –154, –231, –308, ... Is the given sequence geometric or arithmetic? –77, –154, –231, –308, ... Here, there is a common difference between consecutive terms. The given sequence is arithmetic.Determine Values: Determine the values of a1 and d of the sequence. The first term, a1 = –77 Common difference, d = –154 - (–77) = –77Write Formula: Write the formula for the nth term of an arithmetic sequence. an = a1 + (n-1)d a1 = –77 d = –77 Write an expression to describe –77, –154, –231, –308, ... an = a1 + (n-1)d an = –77 + (n-1)(–77) an = –77 - 77(n-1) an = –77 - 77n + 77 an = –77nCorrect Formula: Step 3 (Correction): Write the correct formula for the nth term of an arithmetic sequence. an = a1 + (n-1)d a1 = –77 d = –77 Write an expression to describe –77, –154, –231, –308, ... an = a1 + (n-1)d an = –77 + (n-1)(–77) an = –77 - 77(n-1) an = –77 - 77n + 77 an = –77n + 77 + 77 an = –77n + 154

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. $\newline$ $\text{–}77, \text{–}154, \text{–}231, \text{–}308, \ldots$ $\newline$ $a_n =$ _____

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