Subjects algebra

Sum 4 To 10 616F21

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Sum 4 To 10 616F21


1. The problem is to evaluate the expression from 4 to 10 with parentheses for clarity. 2. We interpret this as the sum of integers from 4 to 10: $$4 + 5 + 6 + 7 + 8 + 9 + 10$$. 3. Using the formula for the sum of an arithmetic series: $$S = \frac{n}{2} (a_1 + a_n)$$ where $n$ is the number of terms, $a_1$ is the first term, and $a_n$ is the last term. 4. Calculate the number of terms: $$n = 10 - 4 + 1 = 7$$. 5. Substitute values into the formula: $$S = \frac{7}{2} (4 + 10) = \frac{7}{2} \times 14$$. 6. Simplify: $$S = 7 \times 7 = 49$$. 7. Therefore, the sum of integers from 4 to 10 is $49$.