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Below are several induction hypothesis statements. Select all the statements that are using STRONG induction. Note: The assumptions themselves are made up. Assume for all natural numbers k up to and including n, that k can be written as the sum of a prime and even number Assume that n is a perfect number We will suppose that for any k, k can be expressed as the root of a polynomial Suppose all integers up to n are good numbers

Below are several induction hypothesis statements. Select all the statements that are using STRONG induction. Note: The assumptions themselves are made up. Assume for all natural numbers k up to and including n, that k can be written as the sum of a prime and even number Assume that n is a perfect number We will suppose that for any k, k can be expressed as the root of a polynomial Suppose all integers up to n are good numbers

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 42E
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Below are several induction hypothesis statements. Select all the statements that are using STRONG induction. Note: The assumptions themselves are made up. Assume for all natural numbers k up to and including n, that k can be written as the sum of a prime and even number Assume that n is a perfect number We will suppose that for any k, k can be expressed as the root of a polynomial Suppose all integers up to n are good numbers
Transcribed Image Text:Below are several induction hypothesis statements. Select all the statements that are using STRONG induction. Note: The assumptions themselves are made up. Assume for all natural numbers k up to and including n, that k can be written as the sum of a prime and even number Assume that n is a perfect number We will suppose that for any k, k can be expressed as the root of a polynomial Suppose all integers up to n are good numbers
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