let p (n)= n ( n+1) (n+2) is divisible by 2
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Answer:
n = 2
Step-by-step explanation:
p(n)=2
n(n+1)(n+2)
=2(2+1)(2+2)
=2(3)(4)
=2(12)
=24
or
according to identity 1
(x+a)(x+b) = x²+(a+b)x+ab
2(2+1)(2+2)
=2[(2)²+(2+1)2+(2)(1)]
=2[(4+(3)2+2)]
=2(4+6+2)
=2(12)
=24
And, 24 is divisible by 2
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