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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Question
![**Text:**
"Use sigma notation to write the sum.
\[ \left[ 2\left( \frac{1}{2} \right) + 3 \right] + \left[ 2\left( \frac{2}{2} \right) + 3 \right] + \ldots + \left[ 2\left( \frac{14}{2} \right) + 3 \right] \]
[Incorrect symbols, indicating an incorrect attempt at using sigma notation]
\[ \sum_{i=1} \]
(Note: The square and rectangular boxes with red 'X' marks are incorrect attempts to use or symbolize sigma notation.)"
**Explanation:**
The text presents a series of terms that need to be expressed in sigma notation. Each term inside the square brackets follows the form \[ \left[ 2\left( \frac{i}{2} \right) + 3 \right] \], where \( i \) is an integer starting from 1 and goes up to 7. The task is to represent this series using sigma notation correctly. The incorrect symbols shown are attempts that need correction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fb7dae5-8a22-403a-ad4b-f1f162320964%2F7bc7003e-26ae-40b1-b926-dc244729f7fd%2F9z6ik6r_processed.png&w=3840&q=75)
Transcribed Image Text:**Text:**
"Use sigma notation to write the sum.
\[ \left[ 2\left( \frac{1}{2} \right) + 3 \right] + \left[ 2\left( \frac{2}{2} \right) + 3 \right] + \ldots + \left[ 2\left( \frac{14}{2} \right) + 3 \right] \]
[Incorrect symbols, indicating an incorrect attempt at using sigma notation]
\[ \sum_{i=1} \]
(Note: The square and rectangular boxes with red 'X' marks are incorrect attempts to use or symbolize sigma notation.)"
**Explanation:**
The text presents a series of terms that need to be expressed in sigma notation. Each term inside the square brackets follows the form \[ \left[ 2\left( \frac{i}{2} \right) + 3 \right] \], where \( i \) is an integer starting from 1 and goes up to 7. The task is to represent this series using sigma notation correctly. The incorrect symbols shown are attempts that need correction.
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