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...
Related questions
Question
![### Series Representation Problem
**Question:**
Which of the following represents the series?
\[ -12 + (-5) + 2 + 9 + 16 \]
**Choices:**
1. \[ \sum_{k=0}^{4} (-19 + 7k) \]
2. \[ \sum_{k=1}^{5} (-19 - 7k) \]
3. \[ \sum_{k=0}^{4} (-12 + 7k) \]
4. \[ \sum_{k=1}^{5} (-12 - 7k) \]
### Explanation:
To determine which option correctly represents the given series, we need to examine each series summation and compare it to the provided sequence.
Let's break down the provided series:
\[ -12, -5, 2, 9, 16 \]
This series can be represented as \(a_k\) where \(k\) starts at 0 or 1, and the differences between consecutive terms appear consistent, suggesting a possible arithmetic sequence.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3b617bc-0d34-47a7-bf50-98a510ba10e9%2F9c5435a0-666c-4f12-9a33-0ebe7cc46012%2Fp7lh65_processed.png&w=3840&q=75)
Transcribed Image Text:### Series Representation Problem
**Question:**
Which of the following represents the series?
\[ -12 + (-5) + 2 + 9 + 16 \]
**Choices:**
1. \[ \sum_{k=0}^{4} (-19 + 7k) \]
2. \[ \sum_{k=1}^{5} (-19 - 7k) \]
3. \[ \sum_{k=0}^{4} (-12 + 7k) \]
4. \[ \sum_{k=1}^{5} (-12 - 7k) \]
### Explanation:
To determine which option correctly represents the given series, we need to examine each series summation and compare it to the provided sequence.
Let's break down the provided series:
\[ -12, -5, 2, 9, 16 \]
This series can be represented as \(a_k\) where \(k\) starts at 0 or 1, and the differences between consecutive terms appear consistent, suggesting a possible arithmetic sequence.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning