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

Odd numbers are the numbers that are not the multiples of 2.

Answer: This is statement is true and justified using the examples shown below.

We will justify the statement using examples.

Explanation:

Example 1: Consider consecutive odd numbers, 3 and 5.

3 + 5 = 8

So, the sum of 3 and 5 is 8 which is divisible by 4.

Example 2: Consider consecutive odd numbers, 205 and 207.

205 + 207 = 412

So, the sum of 205 and 207 is 412 which is divisible by 4.

Therefore, the sum of two consecutive odd numbers is always divisible by 4. This is justified by using examples.