According to the Principle of Mathematical Induction, to prove a statement that is asserted about every natural number 7, there are two things to prove. What is the second? The statement is true for n=k+ 1. The statement is true for n = 1. The statement is true for nk. If the statement is true for n=k, then it will be true for its successor, n=k+1.
According to the Principle of Mathematical Induction, to prove a statement that is asserted about every natural number 7, there are two things to prove. What is the second? The statement is true for n=k+ 1. The statement is true for n = 1. The statement is true for nk. If the statement is true for n=k, then it will be true for its successor, n=k+1.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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![According to the Principle of Mathematical Induction, to prove a statement that is asserted about every natural
number 7, there are two things to prove. What is the second?
The statement is true for n=k+ 1.
The statement is true for n = 1.
The statement is true for nk.
If the statement is true for n=k, then it will be true for its successor, n=k+1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F782dfd25-301a-488f-b0e0-d14020886c43%2F19387b92-23cd-4538-829c-82a0b604e09d%2Forsysy_processed.png&w=3840&q=75)
Transcribed Image Text:According to the Principle of Mathematical Induction, to prove a statement that is asserted about every natural
number 7, there are two things to prove. What is the second?
The statement is true for n=k+ 1.
The statement is true for n = 1.
The statement is true for nk.
If the statement is true for n=k, then it will be true for its successor, n=k+1.
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