Question

Pick 2 consecutive, positive integers and call them a and b. Prove that a/2 + b/2 >/= 1.
what does it mean by consecutive and positive integers? and how you can prove it?
Thank You..

Answer 1

consecutive integers differ by 1. Pick any two adjacent elements of the list below:

1,2,3,4,5,6,7,8,9,...

For example, 6 and 7. Those are consecutive integers.

SO, you have two numbers,
a=n and b=n+1

n/2 + (n+1)/2 = (n + n+1)/2 = (2n+1)/2 = n + 1/2

Since n is positive, n >= 1, so

n + 1/2 >= 1 + 1/2 >= 1