Question

The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples :-​

Answer 1

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Answer 2

EXAMPLE:

Lets take 3 and 5 be these two no.s

So, 3+5=8 (4×2=8)

If taken 5,7

So, 5+7=12 (4×3=12)

If take 111 & 113,

So, 111+113=224 (4×56=224)

EXPLAINATION

Consectuive odd numbers...let one be x , other will be x+2

So, by given ,x+x+2=2(x+1)Now see, Why it is divisible ...

Above it is proven that sum of any odd numbers will be of form 2(x+1) ...So , First , when it is divided by 4 ,

They 4 cuts 2 with 2 , to get-

(x+1)/2 .

Now , x is odd , if it is 1,3,5 etc...

See... (1+1)/2=2/2 (divisible)

If 3, (3+1)/2=4/2=2 ( divisible)

I AM SURE U UNDWRSTOOD IT COMPLETELY .

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