Mathematical Induction
1 Prove Statements Using Mathematical Induction
Write the word or phrase that best completes each statement or answers the question.
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-Show that the formula2 + 4 + 6 + 8 + ... + 2n = + n + 3obeys Condition II of the Principle of Mathematical Induction. That is, show that if the formula is true for sonatural number k, it is also true for the next natural number k + 1. Then show that the formula is false forn = 1.

Question

Mathematical Induction
1 Prove Statements Using Mathematical Induction
 Write the word or phrase that best completes each statement or answers the question.
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-Show that the formula2 + 4 + 6 + 8 + ... + 2n =  + n + 3obeys Condition II of the Principle of Mathematical Induction. That is, show that if the formula is true for sonatural number k, it is also true for the next natural number k + 1. Then show that the formula is false forn = 1.

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The Answer of  Mathematical Induction
1 Prove Statements Using Mathematical Induction
 Write the word or phrase that best completes each statement or answers the question.
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-Show that the formula2 + 4 + 6 + 8 + ... + 2n =  + n + 3obeys Condition II of the Principle of Mathematical Induction. That is, show that if the formula is true for sonatural number k, it is also true for the next natural number k + 1. Then show that the formula is false forn = 1.

Mathematical Induction 1 Prove Statements Using Mathematical Induction