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
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.
Answered by | 12th Sep, 2010, 12:25: AM
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