Calculate Square of 4: To solve the problem, we need to calculate the sum of the squares of each integer from 4 to 7. This means we will calculate 4^2, 5^2, 6^2, and 7^2 and then add them together.Calculate Square of 5: Calculate the square of 4: 4^2 = 16.Calculate Square of 6: Calculate the square of 5: 5^2 = 25.Calculate Square of 7: Calculate the square of 6: 6^2 = 36.Add Squares Together: Calculate the square of 7: 7^2 = 49.Perform Addition: Add all the squares together: 16 + 25 + 36 + 49.Perform the addition: 16 + 25 = 41, 41 + 36 = 77, 77 + 49 = 126.

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$\sum_{i=4}^{7} i^{2}$

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Algebra 2

Sum of finite series starts from 1

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\sum_{i=4}^{7} i^{2}

Calculate Square of $4$ : To solve the problem, we need to calculate the sum of the squares of each integer from $4$ to $7$ . This means we will calculate $4^2$ , $5^2$ , $6^2$ , and $7^2$ and then add them together.
Calculate Square of $5$ : Calculate the square of $4$ : $4^2 = 16$ .
Calculate Square of $6$ : Calculate the square of $5$ : $5^2 = 25$ .
Calculate Square of $7$ : Calculate the square of $6$ : $6^2 = 36$ .
Add Squares Together: Calculate the square of $7$ : $7^2 = 49$ .
Perform Addition: Add all the squares together: $16 + 25 + 36 + 49$ .
Perform Addition: Add all the squares together: $16 + 25 + 36 + 49$ . Perform the addition: $16 + 25 = 41$ , $41 + 36 = 77$ , $77 + 49 = 126$ .