Subjects algebra

Summation 1 To 4 Ba0Dff

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1. **State the problem:** Calculate the summation $$\sum_{i=1}^4 i$$ which means adding all integers from 1 to 4. 2. **Formula used:** The sum of the first $n$ natural numbers is given by $$\sum_{i=1}^n i = \frac{n(n+1)}{2}$$. 3. **Apply the formula:** Here, $n=4$, so $$\sum_{i=1}^4 i = \frac{4(4+1)}{2} = \frac{4 \times 5}{2}$$. 4. **Simplify the fraction:** $$\frac{4 \times 5}{2} = \frac{\cancel{4} \times 5}{\cancel{2} \times 1} = 2 \times 5 = 10$$. 5. **Final answer:** $$\sum_{i=1}^4 i = 10$$. This means adding 1 + 2 + 3 + 4 equals 10.