To solve for \( x_n = \frac{3n - 18n}{10} \), we first simplify the expression.
Simplify inside the parentheses: \[ 3n - 18n = -15n \]
Now the equation becomes: \[ x_n = \frac{-15n}{10} \]
Simplify the fraction: \[ x_n = -\frac{15n}{10} = -\frac{3n}{2} \]
Now we can find \( x_{10} \): \[ x_{10} = -\frac{3 \cdot 10}{2} = -\frac{30}{2} = -15 \]
Thus, \( x_{10} = -15 \).