Theory of Intelligence
11TH•Mathematics•Mathematical Inductions And Binomial Theorem•Question 1

(v)

Use mathematical induction to prove the following formulae for every positive integer $n$.

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(v)

1×3+2×5+3×7+⋯+n×(2n+1)=n(n+1)(4n+5)61\times 3 + 2\times 5 + 3\times 7 + \cdots + n\times(2n+1) = \dfrac{n(n+1)(4n+5)}{6}

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