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S 2 is a factor of n2 -n.

S 2 is a factor of n2 -n.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 50E: Show that if the statement 1+2+3+...+n=n(n+1)2+2 is assumed to be true for n=k, the same equation...
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A statement S, about the positive integers is given. Write statements S, S,, and S3, and show that each of these statements is true S 2 is a factor of n2 -n. S 2 is a factor of (Do not simplify.) Is S, a true statement? Yes No S2. 2 is a factor of (Do not simplify.) Is S, a true statement? Yes No S3 2 is a factor of (Do not simplify.) Is S a true statement? Yes No Click to select your answer(s).
Transcribed Image Text:A statement S, about the positive integers is given. Write statements S, S,, and S3, and show that each of these statements is true S 2 is a factor of n2 -n. S 2 is a factor of (Do not simplify.) Is S, a true statement? Yes No S2. 2 is a factor of (Do not simplify.) Is S, a true statement? Yes No S3 2 is a factor of (Do not simplify.) Is S a true statement? Yes No Click to select your answer(s).
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