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
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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.
Transcribed Image Text: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.
Transcribed Image Text: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.
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