Find the value of the sum. > Xi, if x1 = 7, X2 = -3, x3 = 2, X4 = -4 i = 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement**: Find the value of the sum.

The given problem requires us to find the value of the summation:

\[ \sum_{i=1}^{4} x_i \]

where:

- \( x_1 = 7 \)
- \( x_2 = -3 \)
- \( x_3 = 2 \)
- \( x_4 = -4 \)

The summation is the process of adding a sequence of numbers. Here, the numbers \( x_1, x_2, x_3, \) and \( x_4 \) are added together from \( i = 1 \) to \( i = 4 \).

To find the value of this sum:

1. **List the values**:
   \[
   x_1 = 7, \quad x_2 = -3, \quad x_3 = 2, \quad x_4 = -4
   \]

2. **Add the values**:
   \[
   7 + (-3) + 2 + (-4)
   \]

3. **Calculate step-by-step**:
   \[
   7 - 3 = 4
   \]
   \[
   4 + 2 = 6
   \]
   \[
   6 - 4 = 2
   \]

So, the value of the sum is:

\[ \boxed{2} \]

This final box contains the answer to the summation problem.
Transcribed Image Text:**Problem Statement**: Find the value of the sum. The given problem requires us to find the value of the summation: \[ \sum_{i=1}^{4} x_i \] where: - \( x_1 = 7 \) - \( x_2 = -3 \) - \( x_3 = 2 \) - \( x_4 = -4 \) The summation is the process of adding a sequence of numbers. Here, the numbers \( x_1, x_2, x_3, \) and \( x_4 \) are added together from \( i = 1 \) to \( i = 4 \). To find the value of this sum: 1. **List the values**: \[ x_1 = 7, \quad x_2 = -3, \quad x_3 = 2, \quad x_4 = -4 \] 2. **Add the values**: \[ 7 + (-3) + 2 + (-4) \] 3. **Calculate step-by-step**: \[ 7 - 3 = 4 \] \[ 4 + 2 = 6 \] \[ 6 - 4 = 2 \] So, the value of the sum is: \[ \boxed{2} \] This final box contains the answer to the summation problem.
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