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
![### Instructions:
Use sigma notation to write the sum.
### Given Sum:
\[
\frac{5}{4+1} + \frac{5}{4+2} + \frac{5}{4+3} + \cdots + \frac{5}{4+13}
\]
### Sigma Notation:
- The sum can be expressed using sigma notation, starting from \( i = 1 \) and ending at \( i = 13 \).
#### Formula:
\[
\sum_{i=1}^{13} \frac{5}{4+i}
\]
### Diagram Explanation:
- There is a summation symbol (\(\Sigma\)) with the index \(i = 1\) at the bottom, indicating the starting point of the sum.
- The placeholder box represents the expression that needs to be filled in with the formula for each term in the summation. In this case, it's \(\frac{5}{4+i}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ec045db-2fba-4ce9-be90-4348c2d1e02b%2F2e14709e-043c-453f-8843-2c9d42dfb199%2Fxnm0gnt_processed.png&w=3840&q=75)
Transcribed Image Text:### Instructions:
Use sigma notation to write the sum.
### Given Sum:
\[
\frac{5}{4+1} + \frac{5}{4+2} + \frac{5}{4+3} + \cdots + \frac{5}{4+13}
\]
### Sigma Notation:
- The sum can be expressed using sigma notation, starting from \( i = 1 \) and ending at \( i = 13 \).
#### Formula:
\[
\sum_{i=1}^{13} \frac{5}{4+i}
\]
### Diagram Explanation:
- There is a summation symbol (\(\Sigma\)) with the index \(i = 1\) at the bottom, indicating the starting point of the sum.
- The placeholder box represents the expression that needs to be filled in with the formula for each term in the summation. In this case, it's \(\frac{5}{4+i}\).
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