(a) Show that n(n² – 1)(n+2) is divisible by 4 for all integer n. (b) Prove by contradiction : if n – m is odd , then n² – m² is odd .
(a) Show that n(n² – 1)(n+2) is divisible by 4 for all integer n. (b) Prove by contradiction : if n – m is odd , then n² – m² is odd .
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:(1) (a) Show that n(n² – 1)(n +2) is divisible by 4 for all integer n.
(b) Prove by contradiction : if n – m is odd , then n² – m² is odd .
(2) (a) Show using set identities that AUBU(ANBNC) = AUBUC
(b) Prove by contradiction that if A C B, then A – B = Ø
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