Question: \sum_{i=5}^{6} i.
1. **Stating the problem:** We need to evaluate the summation $$\sum_{i=5}^{6} i$$ which means adding all integers from $i=5$ to $i=6$ inclusive.
2. **Formula and explanation:** The summation $$\sum_{i=a}^{b} i$$ adds all integers starting at $a$ and ending at $b$. Here, $a=5$ and $b=6$.
3. **Calculate the sum:**
$$\sum_{i=5}^{6} i = 5 + 6$$
4. **Perform the addition:**
$$5 + 6 = 11$$
5. **Final answer:**
The value of the summation $$\sum_{i=5}^{6} i$$ is $$11$$.