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    Theory of Numbers : Principle of Mathematical Induction - Prove that 1^3 + 2^3 + 3^3 + ... + n^3 = (1 + 2 + 3 + ... + n)^2

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    Prove that 1^3 + 2^3 + 3^3 + ... + n^3 = (1 + 2 + 3 + ... + n)^2

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    Theory of Numbers (II)
    Principle of Mathematical Induction

    By:- Thokchom Sarojkumar Sinha

    Prove that

    Solution:- We know that

    Therefore -----------------------(1)
    can be written as
    ...

    Solution Summary

    It is proven that 1^3 + 2^3 + 3^3 + ... + n^3 = (1 + 2 + 3 + ... + n)^2. The solution is detailed and well presented.

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