the sum of an even interger and the next even interger

Question

Expressions about intergers

 

 

Answer 1

Hello Katelynn,

Here is the solution yo your question:

 

Let us suppose that we have an even integer = x (it can be any 0, 2, 16, 40, ... )

The next even integer would be = x + 2

(since the difference between an even integer and its next even integer = 2. For example, difference between 6 and 8 = 2, difference between 26 and 28 = 2)

 

Therefore the sum of an even integer and the next even integer

= x + (x+2)

= 2.x + 2

= 2(x + 1)

 

You can plug in any even integer in place of x.

i.e. x can be = 0, 2, 12, 78, ...

 

Hence the answer = 2(x + 1)

 

Hope it answers your question.

You can get back to me for any doubts.