# 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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