suppose P(n): n(n+1)(n+2) is divisible by 6 . Show that P(1) , P(2) and P(3) are true .
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Since 1, 2 and 3 are factors of 6 and 6 is a factor of P(n) This implies that 1 , 2 and 3 are all factors of P(n).
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given relation is true for n=1,2,3
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