Prove that if a is an integer that is not divisible by 3, then (a + 1)(a + 2) .is divisible by 3

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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In the second case a = 3k +2 for
some integer k, so (a+1)(a+2) = (3k
+3)(3k +4) = 3(k +1)(3k +4) and so is
divisible by 3.
If a is an integer that is not divisible
O by 3, then it must leave a remainder
of either 1 or 2 when dividedby 3.
In the first case a = 3k + 1 for some
integer k, so (a+1)(a+2) = (3k+2)
(3k+3) = 3(3k+2)(k+1) and so is
divisible by 3.
%3D
%3D
%3D
%3D
Transcribed Image Text:In the second case a = 3k +2 for some integer k, so (a+1)(a+2) = (3k +3)(3k +4) = 3(k +1)(3k +4) and so is divisible by 3. If a is an integer that is not divisible O by 3, then it must leave a remainder of either 1 or 2 when dividedby 3. In the first case a = 3k + 1 for some integer k, so (a+1)(a+2) = (3k+2) (3k+3) = 3(3k+2)(k+1) and so is divisible by 3. %3D %3D %3D %3D
Prove that if a is an integer that is
not divisible by 3, then (a + 1)(a + 2)
.is divisible by 3
Reorder the following steps (From
Step 01 to step 03) to proof the
? above statement
اختیار [
Step 01
اختیار
Step 02
Step 03
اختیار
Transcribed Image Text:Prove that if a is an integer that is not divisible by 3, then (a + 1)(a + 2) .is divisible by 3 Reorder the following steps (From Step 01 to step 03) to proof the ? above statement اختیار [ Step 01 اختیار Step 02 Step 03 اختیار
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