Question

the sum of two consecutive odd numbers is always divisible by? i )6 ii ) 3 iii) 4 iv)10​

Answer 1

Answer:

Correct answer is only 3

Answer 2

Answer:

So dear your correct answer is the (ii)-3

Step-by-step explanation:

Some consecutive odd numbers are:

1, 3, 5, 7

We can see that the gap between two consecutive odd numbers is 2. Let us assume three consecutive numbers to be:

nn+2n+2+2⇒(n,n+2,n+4)

The sum of these three odd consecutive numbers is given as:

n+n+2+n+4=3n+6

From this sum, we can take number 3 as common:

(3n+6)⇒3(n+2)

This shows that the answer will be a product of 3, n be any number. Thus, the same will be divisible by 3.

Therefore, the sum of three consecutive odd numbers is always divisible by 3 and the correct answer is 3 .

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