A statement Sn about the positive integers is given Sn : 1 + 3 + 5 + . . . + (2n - 1) = n2. Write statements S1, S2, and S3, and show that each of these statements is true.
A statement Sn about the positive integers is given Sn : 1 + 3 + 5 + . . . + (2n - 1) = n2. Write statements S1, S2, and S3, and show that each of these statements is true.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 49E: Show that if the statement
is assumed to be true for , then it can be proved to be true for . Is...
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A statement Sn about the positive integers is given Sn : 1 + 3 + 5 + . . . + (2n - 1) = n2. Write statements S1, S2, and S3, and show that each of these statements is true.
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