Given an example of a statement P(n) such that it is true for all n ϵ N.
P(n):1+2+3+.......+n=n(n+1)2
is true for all n ϵ N.
Let P(n) be the statement : 2n≤3n. If P(r) is true, show that P(r + 1) is true. Do you conclude that P(n) is true for all nϵN.