Exercise 33 Page 205

Explicit equations for arithmetic sequences follow a specific format. In this form, $a_1$ is the first term of the sequence, $d$ is the common difference, and $a_n$ is the $n\text{th}$ term. In the given arithmetic sequence, the first term is $a_1=\text{-}5.$ Let's observe the other terms to determine the common difference $d.$ The common difference is $d=1.$ By substituting these two values into the explicit equation and simplifying, we can find the formula for this sequence. This equation can be used to find any term in the given sequence. To find $a_{10},$ the $10\text{th}$ term in the sequence, we substitute $10$ for $n.$ The $10\text{th}$ term in the sequence is $4.$