Principle of Mathematical Induction
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Theory of Numbers (XVI)
Principle of Mathematical Induction
Prove that if n is an odd positive integer, then x + y is a factor of x^n + y^n.
(For example, if n = 3, then x^n + y^n = ( x + y )( x^2 - xy + y^2 ) )
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Solution Summary
This solution is comprised of a detailed explanation of the Principle of Mathematical Induction. It contains step-by-step explanation of the following problem: Prove that if n is an odd positive integer, then x + y is a factor of x^n + y^n. (For example, if n = 3, then x^n + y^n = ( x + y )( x^2 - xy + y^2 ) )
Solution contains detailed step-by-step explanation. Note is also given at end.
Education
- BSc, Manipur University
- MSc, Kanpur University
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