prove by the principle of mathematical induction that 1.3+3.5+5.7+...+(2n-1)(2n+1)= (n(4n²+6n-1))/3

prove by induction that ∀n∈N 1/(1.2.3) +1/(2.3.4)+1/(3.4.5)+...+1/(n(n+1)(n+2)=n(n+3)/(4(n+1)(n+2)
∑1/(n(n+1)(n+2)=n(n+3)/(4(n+1)
(n+2)
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