Consider the following proof that the statement "for all integers n, n2 + 2n" is not true. Proof: Let n = 2, then we have n2 = 22 = 4 = 2.2 = 2n. Therefore above statement is not true. Which proof method is used in above proof. Proof by counterexample Direct proof O Proof by contraposition O Proof by contradiction

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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Consider the following proof that the
statement "for all integers n, n2 + 2n" is
not true.
Proof: Let n = 2, then we have n2 = 22
= 4 = 2.2 = 2n. Therefore above
%3D
statement is not true.
Which proof method is used in above
proof.
Proof by counterexample
Direct proof
O Proof by contraposition
O Proof by contradiction
Transcribed Image Text:Consider the following proof that the statement "for all integers n, n2 + 2n" is not true. Proof: Let n = 2, then we have n2 = 22 = 4 = 2.2 = 2n. Therefore above %3D statement is not true. Which proof method is used in above proof. Proof by counterexample Direct proof O Proof by contraposition O Proof by contradiction
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