Find a counter-example to disprove each of the following statements: a. If n is a positive integer
Question:
Find a counter-example to disprove each of the following statements:
a. If n is a positive integer then n4 − n is divisible by 4.
b. Integers always have an even number of factors.
c. 2n2 − 6n + 1 is positive for all values of n.
d. 2n2 − 2n − 4 is a multiple of 3 for all integer values of n.
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a The statement If n is a positive integer then n4 n is divisible by 4 is true for many positive int...View the full answer
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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