# Thread: Mathematical Induction

1. ## Mathematical Induction

P(n) = n^2+1, write P(m-1) and is it prime?

That is the last part of the question for my homework. I have done P(1) . . P(6). I'm just not sure how to work this one out.

I got ((m-1)^2)+1.

Any help would be appreciated. Thanks

2. Originally Posted by Edbaseball17
P(n) = n^2+1, write P(m-1) and is it prime?

That is the last part of the question for my homework. I have done P(1) . . P(6). I'm just not sure how to work this one out.

I got ((m-1)^2)+1.

Any help would be appreciated. Thanks
Please give the complete question as given in the booklet and its better if you tell the place where you find it dfficult

3. Originally Posted by ADARSH
Please give the complete question as given in the booklet and its better if you tell the place where you find it dfficult
If P(n) is "n^2+1 is prime" write p(1), p(2) and p(12). which if any is true? also, write P(m-1).

I'm having issues with p(m-1)

4. If P(n) is "n^2+1 is prime" write p(1), p(2) and p(12). which if any is true? also, write P(m-1).
I dont really understood the question

What does any stand for , its not true for n=3 ,12.....and many other numbers
Incase we are reqired to prove that if its true for n than its also true for (n-1) by induction than
its not true for n=10
But here is what I could guess

Whenever its true for any of the number "m" we need to find P(m-1)
So the answers are
P(1-1) = 1

P(2-1) = 1^2+1 = 2

.
.
But we need not find
P(12-1) because
P(12) = 144+1 = 145 is not a prime

I dont know where is mathematical induction involved in this