Exercise 2.1.2: Mathematical expressions that evaluate to even and odd integers. In the expressions below, n is an integer. Indicate whether each expression has a value that is an odd integer or an even integer. Use the definitions of even and odd to justify your answer. You can assume that the sum, difference, or product of two integers is also an integer. a) 10n3 + 8n - 4 b) -2n2 - 5 An answer and justification are required. Definition 2.1.1: Even and odd integers.An integer x is even if there is an integer k such that x = 2k.An integer x is odd if there is an integer k such that x = 2k+1.
Exercise 2.1.2: Mathematical expressions that evaluate to even and odd integers. In the expressions below, n is an integer. Indicate whether each expression has a value that is an odd integer or an even integer. Use the definitions of even and odd to justify your answer. You can assume that the sum, difference, or product of two integers is also an integer. a) 10n3 + 8n - 4 b) -2n2 - 5 An answer and justification are required. Definition 2.1.1: Even and odd integers.An integer x is even if there is an integer k such that x = 2k.An integer x is odd if there is an integer k such that x = 2k+1.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.8: Proof In Algebra
Problem 2WE
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Exercise 2.1.2: Mathematical expressions that evaluate to even and odd integers.
In the expressions below, n is an integer. Indicate whether each expression has a value that is an odd integer or an even integer. Use the definitions of even and odd to justify your answer. You can assume that the sum, difference, or product of two integers is also an integer.
a) 10n3 + 8n - 4
b) -2n2 - 5
An answer and justification are required.
Definition 2.1.1: Even and odd integers.
An integer x is even if there is an integer k such that x = 2k.
An integer x is odd if there is an integer k such that x = 2k+1.
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