Wednesday

October 1, 2014

October 1, 2014

Posted by **Steve** on Saturday, April 6, 2013 at 11:26pm.

- Math -
**black_widow**, Sunday, April 7, 2013 at 10:12amLet a>b

a=2n+1+2k ,n,k is positive

b=2n+1

(a+b)/2=2n+1+k

(a-b)/2=k

If k is odd,

then

(a+b)/2 is even

(a-b)/2 is odd

If k is even,

(a+b)/2 is odd

(a-b)/2 is even

The same method also applies if a<b

(However I assume that a,b are distinct number because if a=b, (a-b)/2=0 but 0 is neither odd nor even)

- Math - to black_widow -
**Steve**, Sunday, April 7, 2013 at 12:51pmexcuse me? 0 is an even number. The definition of even is that it leaves a zero remainder when divided by 2.

- Math -
**black_widow**, Friday, April 12, 2013 at 10:30pmsorry about that....

I thought 0 is neither even nor odd....

**Answer this Question**

**Related Questions**

discrete math - prove that if n is an integer and 3n+2 is even, then n is even ...

discrete math - use a direct proof to show that the product of two odd numbers ...

math - Let f:ℤ+ → ℤ+ be the function defined by: for each x &#...

math help please - Let f:ℤ+ → ℤ+ be the function defined by: ...

discrete math - Let f:ℤ+ → ℤ+ be the function defined by: for...

Geometry - CounterExamples and Inductive Reasoning and Conjectures? Make a ...

odd and even functions - Using f is odd if f(-x) = -f(x) or even if f(-x) = f(x...

Maths - The first odd number can be expressed as 1 = 1squared - 0squared. The ...

algebra - I have been working this one for awhile and have become more confused...

math check - Posted by TchrWill on Thursday, July 14, 2005 at 5:44pm. 2.)The sum...