Write your choice on the line. You may not do extra for bonus here. You must use full sentences to receive full credit. You will likely use some equations. Just be sure to connect everything with sentence: (a) If m is the sum of any four consecutive positive integers, then m mod 4 = 2. (b) For all rational numbers a and b, a is rational. (c) For all integers n , if n mod 5 = 1 then n2 - n mod 5 0.

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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can you help me explain all answers?

Write your choice on the line. You may not do extra
for bonus here. You must use full sentences to receive full credit. You will likely use some equations. Just
be sure to connect everything with sentences
(a) If m is the sum of any four consecutive positive integers, then m mod 4 = 2.
(b) For all rational numbers a and b, a is rational.
(c) For all integers n, if n mod 5 = 1 then n2 – n mod 5 = 0.
(d) 3|(n3 – n) for every positive integer n.
Transcribed Image Text:Write your choice on the line. You may not do extra for bonus here. You must use full sentences to receive full credit. You will likely use some equations. Just be sure to connect everything with sentences (a) If m is the sum of any four consecutive positive integers, then m mod 4 = 2. (b) For all rational numbers a and b, a is rational. (c) For all integers n, if n mod 5 = 1 then n2 – n mod 5 = 0. (d) 3|(n3 – n) for every positive integer n.
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