Given integers a and b, a number n is said to be of the form ak + b if there is an integer k such that ak + b : the form 3k + 1 are - - = n. Thus the numbers of - 8, — 5, — 2, 1, 4, 7, 10, · · · . Prove that - every integer is of the form 3k or of the form 3k + 1 or of the form 3k + 2.

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
Chapter5: Factoring Polynomials
Section5.4: Multiplying Binomials Mentally
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Given integers a and b, a number n is said to be of the form ak + b
if there is an integer k such that ak + b :
the form 3k + 1 are
-
-
= n. Thus the numbers of
- 8, — 5, — 2, 1, 4, 7, 10, · · · . Prove that
-
every integer is of the form 3k or of the form 3k + 1 or of the form
3k + 2.
Transcribed Image Text:Given integers a and b, a number n is said to be of the form ak + b if there is an integer k such that ak + b : the form 3k + 1 are - - = n. Thus the numbers of - 8, — 5, — 2, 1, 4, 7, 10, · · · . Prove that - every integer is of the form 3k or of the form 3k + 1 or of the form 3k + 2.
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