Prove that there is a positive integer that equals the sum

Chapter 8, Problem 8E

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QUESTION:

Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?

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QUESTION:

Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?

ANSWER:

SolutionStep 1Let us assume that ‘a’ be a positive number.So, according to the statement, positive number is equal to the sum of the positive integer but not exceeding it. a

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