Math, asked by mmmmmm4, 1 year ago

show product of two consecutive odd natural number is always an odd number

Answers

Answered by tejasri2
1
noo its always even

Proof : let the cosecutive numbers be x,x+1
x(x+1) = x²+x

any one number is even product of odd and even is always even

♡♥hope it helps u♥♡
Answered by jaya1012
2
HELLO.......FRIEND!!

THE ANSWER IS HERE,

Let the two consecutive odd numbers be

=> 2n-1 & 2n+1.

There product => (2n-1)(2n+1)


 =  >  \: 4 {n}^{2}  - 1

 =  >  \: 2(2 {n}^{2} ) - 1

let \: 2 {n}^{2}  \: be \: m.

 =  >  \: 2m - 1

Hence, we can say that product of two consecutive odd numbers is always odd.


:-)Hope it helps u.
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