1. **State the problem:** We have a sequence where the term number $t$ and term value $v$ are given as follows: $t=1, v=11$; $t=2, v=22$; $t=3, v=33$; $t=4, v=44$. We need to describe the pattern, write an expression and equation relating $v$ to $t$, and verify the equation. 2. **Describe the pattern:** The term value $v$ increases by 11 each time $t$ increases by 1. This means $v$ is directly proportional to $t$ with a constant rate of change 11. 3. **Write an expression for $v$ in terms of $t$:** Since each term value is 11 times the term number, the expression is: $$v = 11t$$ 4. **Write an equation relating $v$ to $t$:** The equation is the same as the expression: $$v = 11t$$ 5. **Verify the equation by substituting values from the table:** - For $t=1$: $v = 11 \times 1 = 11$ (matches table) - For $t=2$: $v = 11 \times 2 = 22$ (matches table) - For $t=3$: $v = 11 \times 3 = 33$ (matches table) - For $t=4$: $v = 11 \times 4 = 44$ (matches table) All values match the table, confirming the equation is correct.