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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F678999c5-ae72-48d0-b908-798887ce1584%2F3f4c6653-91f2-4cce-b53f-0949eb43a213%2Fbn85o35_processed.png&w=3840&q=75)
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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