Prove that n(n+1)(n+2)is divisible by 6?
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⠀ 4 years, 4 months ago
For n = 1 ,
p(k) is true
Let for n = k ,p(k) is true
For n = k+1:
(k+1)(k+2)(k+3)
k(k+1)(k+2)(k+3)/k divisible by 6
So by mathematical induction , statement is true for all n€N
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