Consider the statement that 3n – 2 is an odd number for all n = 1,2, 3, .... Which of the following statements is necessary to prove the statement via mathematical induction? I) Assume 3k – 2 is an odd number, then 3(k+1)-2 is also an odd number. II) Let n be arbitrary. Show that 3 * n – 2 is an odd number. III) Show that 3·1 – 2 is an odd number. IV) Pick two values of n at random and show that the statement is true for these chosen n values. Multiple choice: a) “I only" b) “II only" c) “III only" d) “IV only"

Consider the statement that 3n – 2 is an odd number for all n = 1,2, 3, .... Which of the following statements is necessary to prove the statement via mathematical induction? I) Assume 3k – 2 is an odd number, then 3(k+1)-2 is also an odd number. II) Let n be arbitrary. Show that 3 * n – 2 is an odd number. III) Show that 3·1 – 2 is an odd number. IV) Pick two values of n at random and show that the statement is true for these chosen n values. Multiple choice: a) “I only" b) “II only" c) “III only" d) “IV only"

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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