Question

Can someone explain Induction to me? D:

Answer 1

this is the way to show the subject of integers value always is right.

Answer 2

Well, I know it's basically proofs.

Answer 3

Suppose that P(n) is an issue related with integer number n.
the problem is P(n) is right for all n>=m
so you should show P(m) is corresct
then assume that P(k) is correct then in conclusion show P(k+1) is correct.

Answer 4

for example P(n)== 1+2+3....+n=n(n+1)/2
P(1) is 1=1*2/2=1
sup:1+2+3...+k=k(k+1)/2
so P(k+1) will be 1+2+3....+k+(k+1)=(k+1)(k+1+1)/2
it is enough that add k+1 in both sides of assume.
and it'll show P(k+1) is true.
that's it.