Question

the sun of two consecutive odd numbers is divisible by 4. verify this statement with the help of some examples
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Answer 1

Answer:

Step-by-step explanation:

If the nos are 1 and 3, then their sum is 4 which is divisible by 4.

If the nos are 3 and 5, their sum is 8 which is divisible by 4.

Answer 2

Answer:

Yes "sum of two consecutive odd numbers is divisible by 4" is correct statement.

Step-by-step explanation:

The given statement "sum of two consecutive odd numbers is divisible by 4" is correct statement.

To verify it let take some examples.

First what a consecutive number mean ?

Consecutive number are nothing just continues number.

Odd number = 1,3,5,7,9,11,13,15,17,19....

1.)Let take first two consecutive number 1 and 3.

Sum of consecutive odd number = 1 + 3 = 4

Let try to divide by 4,

4/4=1

2.) Let take second pair of consecutive odd numbers 3 and 5.

Sum of consecutive odd number =  3 + 5 = 8

Let try to divide by 4,

8/4=2

3.) Let take second pair of consecutive odd numbers 5 and 7.

Sum of consecutive odd number =  5 + 7 = 12

Let try to divide by 4,

12/4=3

So we can see the given statement in correct