following statements. You must label and show all three steps. Step 1: Prove n = 1 is true Step 2: Assume true for all n = k Step 3: plug in k+1 and show it 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 46E: Use generalized induction and Exercise 43 to prove that n22n for all integers n5. (In connection...
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Use the 3 step Mathematical Induction process to prove the
following statements. You must label and show all three
steps.
Step 1: Prove n = 1 is true
Step 2: Assume true for all n = k
Step 3: plug in k+1 and show it is true.
You choose any 3 to prove.
1. 1² +3² +5² +...+(2n-1)² n(2n-1)(2n+1)
3
2.
=
Prove n² +n is always even.
Transcribed Image Text:Use the 3 step Mathematical Induction process to prove the following statements. You must label and show all three steps. Step 1: Prove n = 1 is true Step 2: Assume true for all n = k Step 3: plug in k+1 and show it is true. You choose any 3 to prove. 1. 1² +3² +5² +...+(2n-1)² n(2n-1)(2n+1) 3 2. = Prove n² +n is always even.
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