Question

The sum of two consecutive odd number is divisible by 4. Verify this with example.​

Answer 1

Answer:

The sum of any two consecutive numbers is always odd, and the sum of two consecutive odd numbers is always divisible by 4. 3+ 5 = 8 and 8 is divisible by 4. 5 + 7 = 12 and 12 is divisible by 4. 7+ 9 = 16 and 16 is divisible by 4.

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Answer 2

Step-by-step explanation:

take 2 numbers as n,n+2(because two consecutive odd numbers) on adding we get 2n+2= 2(n+1)

2(n+1)/4 2 and 2 from 4 will cancel and n+1 is even so 2 and n+1 will cancel so sum of two consecutive odd numbers is divisible by 4