1. Let's start by stating the problem: We want to find an equation that represents the sequence 2.5, 2.73, 2.95. 2. The sequence appears to be increasing, so we can check if it fits a linear pattern of the form $a_n = mn + b$, where $n$ is the term number. 3. Assign term numbers: $a_1 = 2.5$, $a_2 = 2.73$, $a_3 = 2.95$. 4. Calculate the differences between terms: $2.73 - 2.5 = 0.23$, $2.95 - 2.73 = 0.22$. The differences are close but not exactly equal, suggesting it might be approximately linear. 5. To find $m$ (slope), use the average difference: $m = \frac{0.23 + 0.22}{2} = 0.225$. 6. Use the first term to find $b$: $2.5 = 0.225 \times 1 + b \Rightarrow b = 2.5 - 0.225 = 2.275$. 7. The approximate equation for the sequence is: $$a_n = 0.225n + 2.275$$ 8. Check the equation for $n=2$: $a_2 = 0.225 \times 2 + 2.275 = 2.725$, close to 2.73. 9. Check for $n=3$: $a_3 = 0.225 \times 3 + 2.275 = 2.95$, matches exactly. Therefore, the sequence can be approximated by the linear equation $a_n = 0.225n + 2.275$.