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Sum of the Cubes of "n" Consecutive integers - Simple Proof

In this video I continue on my summation proofs series and show the proof for determining the formula for the sum of the cubes of "n" consecutive integers, i.e. 1^3 + 2^3 + 3^3 +.... + n^3. This is a similar proof to my sum of squares proof (see video link below) and involves the use of the useful "telescoping" or collapsing sum which I illustrate in the video. Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiZ40k... View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/su... Related Videos: Sigma Notation - A brief Introduction:    • Sigma Notation - A brief Introduction   Sum of "n" Consecutive Integers - Simple Proof :    • Sum of "n" Consecutive Integers - Sim...   Sum of the squares of "n" Consecutive integers - Simple Proof:    • Sum of the squares of "n" Consecutive...   Foil Method - Simple Proof and Quick Alternative Method:    • Foil Method - Simple Proof and Quick ...   Types of Numbers: Natural, Integers, Rational, Irrational, and Real Numbers:    • Types of Numbers: Natural, Integers, ...   . ------------------------------------------------------ Become a MES Super Fan!    / @mes   DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: [email protected] Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps