DETERMINE WHETHER THE SEQUENCES ARE INCREASING, DECREASING, MONOTONIC. IF INCREASING, EUTER I AS YOUR ANSWER DECREASING, ENTER D AS YOUR AUSWER. NOT MONOTONIC ENTER N YOUR ANSWER. OR NOT IF 1. An AS = 2. An= √n +3 lon +3 3. An = 4. An = Cos n 3n n-3 n+3 3n+6
DETERMINE WHETHER THE SEQUENCES ARE INCREASING, DECREASING, MONOTONIC. IF INCREASING, EUTER I AS YOUR ANSWER DECREASING, ENTER D AS YOUR AUSWER. NOT MONOTONIC ENTER N YOUR ANSWER. OR NOT IF 1. An AS = 2. An= √n +3 lon +3 3. An = 4. An = Cos n 3n n-3 n+3 3n+6
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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I put D for 1, 2, and 4 with N for 3 and I was wrong, can you help me figure out the correct answer?
![### Determine the Nature of Sequences
For the following sequences, determine if they are:
- **Increasing**
- **Decreasing**
- **Not Monotonic**
If the sequence is increasing, enter **I** as your answer.
If decreasing, enter **D** as your answer.
If not monotonic, enter **N** as your answer.
1. \[ a_n = \frac{\sqrt{n} + 3}{6n + 3} \]
2. \[ a_n = \frac{\cos n}{3^n} \]
3. \[ a_n = \frac{n - 3}{n + 3} \]
4. \[ a_n = \frac{1}{3n + 6} \]
Please analyze each sequence and determine its behavior based on its formula.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fef8a34-2f5f-4721-a6f5-64cfda708d6c%2Fdafffaf4-7dc2-4238-8819-902e5051bc05%2Fukxq0en_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Determine the Nature of Sequences
For the following sequences, determine if they are:
- **Increasing**
- **Decreasing**
- **Not Monotonic**
If the sequence is increasing, enter **I** as your answer.
If decreasing, enter **D** as your answer.
If not monotonic, enter **N** as your answer.
1. \[ a_n = \frac{\sqrt{n} + 3}{6n + 3} \]
2. \[ a_n = \frac{\cos n}{3^n} \]
3. \[ a_n = \frac{n - 3}{n + 3} \]
4. \[ a_n = \frac{1}{3n + 6} \]
Please analyze each sequence and determine its behavior based on its formula.
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