PLEASE HELP ME AND I WILL GIVE MEDAL AND BE SSOOOO GREATFUL

Question

PLEASE HELP ME AND I WILL GIVE MEDAL AND BE SSOOOO GREATFUL <3

3.Carmen is trying to determine if the following statement is always, sometimes, or never true:
The square of a prime number is odd.
She writes the following statements: 32 = 9, 52 = 25, 72 = 49, 112 = 121, and 132 = 169.          Using her results, she concludes that the statement is always true. 
a.	What kind of reasoning did Carmen use? 
b.	Is her conclusion correct? If not, use a counterexample to prove why it is not.
Answer:

anonymous · Answer

@Haseeb96 @ganeshie8 @HELP!!!! @Here_to_Help15

anonymous · Answer

Please help anyone explain to me what kind of reasoning she used.

anonymous · Answer

@BassCatcher15 @study100 @cram

haseeb96 · Answer

For A , it is never be true because here he said that the square of prime number is odd then in all these examples like first one 32=9 
here 9 is prime number but it is equal to an even number not odd 
so it will never be true

here_to_help15 · Answer

sorry i was watching a movie lol

anonymous · Answer

its ok lol

anonymous · Answer

ohh okay but someone told me it was true.

haseeb96 · Answer

it will be always true when the square of prime number is even. 
for B,  this conclusion is  not correct according to the given statements
the square of the prime number is odd but the given statement didnt satisfy it so 
when 31=9 ,51=25,71=49 ...
these above statements satisfy the given statement( the square of the prime number is odd )

haseeb96 · Answer

i have prove it

anonymous · Answer

wait did you mean 3^2=9?

jim_thompson5910 · Answer

2 is a prime number

but 2 squared = 2*2 = 4 which is even (and not odd)

jim_thompson5910 · Answer

so this counter-example shows you that her claim is sometimes true and not always true

haseeb96 · Answer

9 is the prime number and 32 is an even 
it said that when u square the prime number then odd will come 
31=9

anonymous · Answer

oh okay. So wait what do I put for A her reasoning?@jim_thompson5910

jim_thompson5910 · Answer

well she's just listing a few examples. She hasn't proved it for ALL prime numbers. Just for this small list.

jim_thompson5910 · Answer

So her reasoning is flawed in that she hasn't accounted for every prime

anonymous · Answer

Oh okay thank you! :)

jim_thompson5910 · Answer

np