Question: \sum_{i=1}^{6} i = 5
1. **State the problem:** We need to evaluate the summation $$\sum_{i=1}^{6} i$$ and compare it to the value 5.
2. **Recall the formula for the sum of the first n natural numbers:**
$$\sum_{i=1}^{n} i = \frac{n(n+1)}{2}$$
3. **Apply the formula for n=6:**
$$\sum_{i=1}^{6} i = \frac{6(6+1)}{2} = \frac{6 \times 7}{2}$$
4. **Simplify the expression:**
$$\frac{6 \times 7}{2} = \frac{\cancel{6} \times 7}{\cancel{2}} = 3 \times 7 = 21$$
5. **Interpretation:** The summation $$\sum_{i=1}^{6} i$$ equals 21, which is not equal to 5.
**Final answer:** $$\sum_{i=1}^{6} i = 21$$