Question

The product of odd number and its consecutive number is a number

Answer 1

Answer:

the consecutive to odd no. is even

so the product of even and odd is even

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Answer 2

Step-by-step explanation:

Let the odd number be 2n+1.

It's consecutive odd number is 2n+3.

Product of odd number and it's consecutive

(2n+1)(2n+3)

4n²+6n+2n+3

4n²+8n+3

4n²+8n+2+1

2(2n²+4n+1)+1

Let 2n²+4n+1 be p

So the number is 2p+1

The product of odd number and it's consecutive odd number will result odd number