### Problem Statement**Objective:** Evaluate the given sum using the properties of summation and the Summation Formulas Theorem. Verify your result using the summation capabilities of a graphing utility.**Expression:**\[\sum_{i=1}^{11} (i^2 - 3)\]### ExplanationThis is a summation problem, where we need to compute the sum of terms from \(i = 1\) to \(i = 11\) for the expression \(i^2 - 3\).**Steps to Solve:**1. **Expand the Summation:** - Calculate each term in the sequence from \(i = 1\) to \(i = 11\). 2. **Use Summation Properties:** - Break the sum into separate summations if possible: \[ \sum_{i=1}^{11} i^2 - \sum_{i=1}^{11} 3 \] 3. **Apply Summation Formulas:** - Use known summation formulas, such as: \[ \sum_{i=1}^{n} i^2 = \frac{n(n+1)(2n+1)}{6} \] - For the constant term: \[ \sum_{i=1}^{n} c = n \cdot c \]4. **Calculate the Result:** - Compute each part using the formulas and properties. - Combine the results to get the final sum.5. **Verification:** - Use a graphing utility to input the original expression and verify the computed result.This approach ensures you not only compute the sum analytically but also confirm its accuracy through technological tools.

Name: ### Problem Statement**Objective:** Evaluate the given sum using the
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: ### Problem Statement**Objective:** Evaluate the given sum using the properties of summation and the Summation Formulas Theorem. Verify your result using the summation capabilities of a graphing utility.**Expression:**\[\sum_{i=1}^{11} (i^2 - 3)\]##