Write an explicit formula for \( a_{n} \), the \( n^{\text {th }} \) term of the sequence \( 31,27,23, \ldots \). Answer Altemptiout of 3 \( a_{n}=\square \) Submit Answer
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The sequence \( 31, 27, 23, \ldots \) is an arithmetic sequence where each term decreases by 4. To find the explicit formula for the \( n^{\text{th}} \) term, you can start with the first term \( a_1 = 31 \) and the common difference \( d = -4 \). Using the formula \( a_n = a_1 + (n-1)d \), we get \[ a_n = 31 + (n-1)(-4) = 31 - 4(n-1) = 35 - 4n. \] So, the explicit formula for the \( n^{\text{th}} \) term is \[ a_n = 35 - 4n. \]
