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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 42E
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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.
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.
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