By dragging statements from the left column to the right column below, construct a valide proof of the statement: For any integer n, if n is even, then 17n is even. The correct proof will use 3 of the statements below. Statements to choose from: Since 17 is odd and the product of an odd number and an odd number is odd, 17n must be even. Let n be an arbitrary integer and assume 17n is odd. Let n be an arbitrary integer and assume n is even. n must be even. Let n be an arbitrary integer and assume 17n is even. Since the product of any number with an even number is even, Since an even number divided by 17 must be odd, 17n must be odd. Your Proof: Put chosen statements in order in this column and press the Submit Answers button.
By dragging statements from the left column to the right column below, construct a valide proof of the statement: For any integer n, if n is even, then 17n is even. The correct proof will use 3 of the statements below. Statements to choose from: Since 17 is odd and the product of an odd number and an odd number is odd, 17n must be even. Let n be an arbitrary integer and assume 17n is odd. Let n be an arbitrary integer and assume n is even. n must be even. Let n be an arbitrary integer and assume 17n is even. Since the product of any number with an even number is even, Since an even number divided by 17 must be odd, 17n must be odd. Your Proof: Put chosen statements in order in this column and press the Submit Answers button.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![By dragging statements from the left column to the right column below, construct a valide proof of the statement:
For any integer n, if n is even, then 17n is even.
The correct proof will use 3 of the statements below.
Statements to choose from:
Your Proof: Put chosen statements in order in this column and press the Submit Answers button.
Since 17 is odd and the product of an
odd number and an odd number is
odd,
17n must be even.
Let n be an arbitrary integer and
assume 17 is odd.
Let n be an arbitrary integer and
assume n is even.
n must be even.
Let n be an arbitrary integer and
assume 17m is even.
Since the product of any number with
an even number is even,
Since an even number divided by 17
must be odd,
17n must be odd.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F862d67f6-41ff-41a6-a751-26ec3266bc03%2F7a4923dd-ed26-45de-8b68-a32b480d62a8%2F34i0ec_processed.png&w=3840&q=75)
Transcribed Image Text:By dragging statements from the left column to the right column below, construct a valide proof of the statement:
For any integer n, if n is even, then 17n is even.
The correct proof will use 3 of the statements below.
Statements to choose from:
Your Proof: Put chosen statements in order in this column and press the Submit Answers button.
Since 17 is odd and the product of an
odd number and an odd number is
odd,
17n must be even.
Let n be an arbitrary integer and
assume 17 is odd.
Let n be an arbitrary integer and
assume n is even.
n must be even.
Let n be an arbitrary integer and
assume 17m is even.
Since the product of any number with
an even number is even,
Since an even number divided by 17
must be odd,
17n must be odd.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)