Sum of first n squares. [Mathematical Induction]

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In this video, I showed how to iprove the sum of first n squares by mathematical induction.
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Brilliant, as always! Thank you so much 👍

Greetings from Spain 🇪🇸

Plable
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Thanks for this very good explanation. However, I think I saw a proof done by using the method of differences. It would be good to compare and contrast which method is better. Keep up the great work you are doing 👍.

EE-Spectrum
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If you compute the sum from r = 1 to n of
Σ(r + 1)³ - Σr³ in two different ways, you can deduce the formula for Σr².

Hint 1: Σ (r + 1)³ - Σr³ = Σ3r² + Σ3r + Σ1
Note: Σ1 = n and Σr = n(n + 1)/2.

Hint 2: Σ(r + 1)³ - Σr³ =
(n + 1)³ - 1³

davidbrisbane