Use sigma notation to write the sum. X Σ* [[ IM [²(²¹) + ¹] + [²( ² ) + ³] + - + [² (¹) + ¹] [2 [2 ..+ 3] X

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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**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.
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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