the product of the predecessor and successors of an odd natural number is always divisible by
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Step-by-step explanation:
odd Natural Number
2n+1
Predecessor =2n+1−1
=2n
Successor =2n+1+1
=2n+2
Product =2n.(2n+2)
=2n.2(n+1)
=4.n(n+1)
=4r
↓
divisible by 4,2
The product of the predecessor and successor of an odd natural number is always divisible by 4,2.
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