SOLUTION: Show that the sum of an odd integer and an even integer is an odd integer

Algebra.Com
Question 127064: Show that the sum of an odd integer and an even integer is an odd integer
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
An odd integer can be represented as where
n = 9,1,2,3 etc.
An even integer is represented as
where n=0,1,2,3 etc.
Adding them,

This has to be odd also, since is always even

RELATED QUESTIONS

Show that the sum of an odd integer and an even integer is always... (answered by venugopalramana)
show that the product of an odd integer and an even integer is always... (answered by venugopalramana)
Use expressions for even and odd integers to confirm the conjecture that the product of... (answered by stanbon)
the sum of an odd integer and 3/4 the next odd integer, and two times the following odd... (answered by fractalier)
if r is an odd integer. which of the following expression represent an even... (answered by Edwin McCravy)
The sum of 4 times an odd integer and twice the next consecutive odd integer is... (answered by addingup)
Difference of an odd integer and three times the next consequetive odd integer is... (answered by ankor@dixie-net.com)
The sum of an odd integer and 3 times the next greater odd integer is 2 less than 4 times (answered by CubeyThePenguin)
Use expressions for odd integer to confirm the conjecture that the product of two odd... (answered by solver91311)