wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Show that every positive integer is either even or odd..

Open in App
Solution

Let I be a positive integer
We can now write I in the from of
I=pq+r
So, pq+r can either be even or odd.
Since, pq+r yields either even or odd number
if pq+r is even
pq+r=2x
and if odd
pq+r=2x+1
So, I=2x or 2x+1
I=odd or even

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Passage 22
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon