If x represents the first of two consecutive odd integers, express the sum of the two integers in terms of x?

Question

If x represents the first of two consecutive odd integers, express the sum of the two integers in terms of x

Does anyone know how to do this? Im horrible at consecutive integer stuff...

Arent consecutive odd integers...

x, x+1, x+3?


or is that wrong?

thanks!!!!

Answer 1

one thing to remember about consecutive odd integers.... they are always 2 apart. Like 3 and 5 or 11 and 13.

so if the first odd integer is x, the 2nd would be x+2.

This is really hard, because when you see the x+2 all you see is the EVEN number, 2, and it seems wrong. But as you can see for yourself in the examples above, this is right. (consecutive even integers are also 2 apart and can be expressed in the same way.)

So, back to your good question.,... the sum of the 2 integers would be:

x + (x+2) or 2x+2, where x is the first integer


hope that helps! :-)

Answer 2

x is the integer. Let's call it 1. What is the next odd integer? 3, or x+2, so the sum of two consecutive odd integers is x+x+2, or 2x+2. (You can check this by substituting 1 for x. 2(1)+2=4. Also, 1+3=4)

If you do x, x+1, x+3... like you were doing, you'd get one odd number and the rest even.

Answer 3

sum= 2x+2