By dragging statements from the left column to the right column below, construct a valide proof of the statement: For all integers n, if 13n is even, then n is even. The correct proof will use 3 of the statements below. Statements to choose from: Let n be an arbitrary integer and assume n is odd. Let n be an arbitrary integer and assume n is even. Since 13 is odd and the product of an odd number and an even number is even, Let n be an arbitrary integer and assume 13n is even. 13n must be even Since 13 is odd and the product of odd numbers is odd, 13n must be odd. n must be even Since an even number divided by 13 must be even, 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 all integers n, if 13n is even, then n is even. The correct proof will use 3 of the statements below. Statements to choose from: Let n be an arbitrary integer and assume n is odd. Let n be an arbitrary integer and assume n is even. Since 13 is odd and the product of an odd number and an even number is even, Let n be an arbitrary integer and assume 13n is even. 13n must be even Since 13 is odd and the product of odd numbers is odd, 13n must be odd. n must be even Since an even number divided by 13 must be even, 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
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Transcribed Image Text:By dragging statements from the left column to the right column below, construct a valid proof of the statement:
For all integers \( n \), if \( 13n \) is even, then \( n \) is even.
The correct proof will use 3 of the statements below.
**Statements to choose from:**
1. Let \( n \) be an arbitrary integer and assume \( n \) is odd.
2. Let \( n \) be an arbitrary integer and assume \( n \) is even.
3. Since 13 is odd and the product of an odd number and an even number is even,
4. Let \( n \) be an arbitrary integer and assume \( 13n \) is even.
5. \( 13n \) must be even.
6. Since 13 is odd and the product of odd numbers is odd,
7. \( 13n \) must be odd.
8. \( n \) must be even.
9. Since an even number divided by 13 must be even,
**Your Proof:**
Put chosen statements in order in this column and press the Submit Answers button.
Transcribed Image Text:Below is a transcription of the interactive proof activity for an Educational website.
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**Instructions:**
By dragging statements from the left column to the right column below, construct a valid proof of the statement:
For all integers \( n \), if \( 13n \) is even, then \( n \) is even.
The correct proof will use 3 of the statements below.
**Statements to choose from:**
1. Let \( n \) be an arbitrary integer and assume \( n \) is odd.
2. Let \( n \) be an arbitrary integer and assume \( n \) is even.
3. Since 13 is odd and the product of an odd number and an even number is even,
4. Let \( n \) be an arbitrary integer and assume \( 13n \) is even.
5. \( 13n \) must be even.
6. Since 13 is odd and the product of odd numbers is odd,
7. \( 13n \) must be odd.
8. \( n \) must be even.
9. Since an even number divided by 13 must be even,
**Your Proof:**
Put chosen statements in order in this column and press the Submit Answers button.
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