1. **Problem Statement:** We are given a sequence defined by the general term $$x_n = \frac{5n + 6}{5n}$$ and asked to analyze it. 2. **Simplify the expression:** $$x_n = \frac{5n + 6}{5n} = \frac{5n}{5n} + \frac{6}{5n} = 1 + \frac{6}{5n}$$ 3. **Interpretation:** This shows that for each term in the sequence, we start with 1 and add $$\frac{6}{5n}$$, which decreases as $$n$$ increases. 4. **Behavior as $$n$$ gets large:** As $$n \to \infty$$, $$\frac{6}{5n} \to 0$$, so $$x_n \to 1$$. 5. **Example values:** - For $$n=1$$, $$x_1 = 1 + \frac{6}{5} = 1 + 1.2 = 2.2$$ - For $$n=2$$, $$x_2 = 1 + \frac{6}{10} = 1 + 0.6 = 1.6$$ - For $$n=8$$, $$x_8 = 1 + \frac{6}{40} = 1 + 0.15 = 1.15$$ Thus the sequence decreases towards 1 as $$n$$ increases.