Sum 1 To 10 970C31

1. **State the problem:** We need to find the sum of the integers from $1$ to $10$. 2. **Formula used:** The sum of the first $n$ natural numbers is given by the formula $$S = \frac{n(n+1)}{2}$$ where $n$ is the last number in the sequence. 3. **Apply the formula:** Here, $n = 10$, so $$S = \frac{10(10+1)}{2} = \frac{10 \times 11}{2}$$ 4. **Simplify the expression:** $$S = \frac{110}{2} = 55$$ 5. **Conclusion:** The sum of the integers from $1$ to $10$ is $55$.