Question

prove that sum of two consecutive odd numbers is divisible by 4

Answer 1

aim:prove that sum of two consecutive odd numbers is divisible by 4

procedure:LETS TAKE 2  consecutive odd numbers AS 3 AND 5
we should prove that sum of two consecutive odd numbers is divisible by 4
let see the result with help of 3 and 5 
3+5 should be equal to 4 
8  should be equal to 4 

observation: we see that 8 is divisible by 4 =2

inference: this proves that sum of two consecutive odd numbers is divisible by 4

Answer 2

Hi ,

Let ( 2x + 1 ) , ( 2x + 3 ) are two

consecutive odd terms ,

Sum of two odd numbers

= 2x + 1 + 2x + 3

= 4x + 4

= 4 ( x + 1 )

= 4k ( let k = x + 1 )

4k is divisible by 4.

Therefore ,

Sum of any two consecutive odd

numbers divisible by 4 .

I hope this helps you.

:)