
#1
Sep1211, 01:16 PM

P: 1

show that the square of any odd integer is odd, use this fact to justify the statement "if p2
is even , then p is also even 



#2
Sep1211, 01:54 PM

Mentor
P: 16,542

Well, what did you try already??? If we know where you're stuck, then we'll know where to help...




#3
Sep1211, 02:21 PM

P: 50

A good first step is noticing that
... 5 = 2*(3) + 1 3 = 2*(2) + 1 1 = 2*(1) + 1 1 = 2*0 + 1 3 = 2*1 + 1 5 = 2*2 + 1 ... 



#4
Sep1211, 05:47 PM

P: 5

math work
(2x+1) is odd. (2x+1)^2=4x^2+4x+1 but 4x^2+4x is even and even +1 gives odd.
So (2x+1)^2 is odd 


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