what is the nature of the no. n2-n if is a positive integer?explain your answer.
Asked by rittwik
| 11th Sep, 2010,
07:21: PM
Expert Answer:
Dear Student,
if n is a positive integer, then n2 is always greater than n.
So, n2 - n is always positive.
Also, we can write it as,
n2 - n = n(n-1)
Now, either one of n or n-1 is even and the other is odd always.
=> n(n-1) is even always. (even times odd is even.)
Hence n2 - n is a positive even integer if n is a positive integer.
Regards Topperlearning.
Answered by
| 12th Sep, 2010,
12:25: AM
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Sign Up
Verify mobile number
Enter the OTP sent to your number
Change