Subjects algebra

Sum 1 To 5 Da81Ea

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Question: What is $\sum_{n=1}^5$
1. **State the problem:** We need to find the value of the summation $$\sum_{n=1}^5 n$$ which means adding all integers from 1 to 5. 2. **Formula used:** The sum of the first $k$ natural numbers is given by the formula $$\sum_{n=1}^k n = \frac{k(k+1)}{2}$$. 3. **Apply the formula:** Here, $k=5$, so $$\sum_{n=1}^5 n = \frac{5(5+1)}{2} = \frac{5 \times 6}{2}$$. 4. **Simplify the expression:** $$\frac{5 \times 6}{2} = \frac{\cancel{5} \times 6}{\cancel{2}} = 5 \times 3 = 15$$. 5. **Conclusion:** The value of the summation $$\sum_{n=1}^5 n$$ is **15**.