A student was asked to prove a statement by induction. He proved (i) P(5) is true and (ii) truth of P(n) => truth of P(n+1), n `in` N . On the basis of this, he could conclude that P(n) is true

A student was asked to prove a statement by induction. He proved (i) P(5) is true and (ii) truth of P(n) rArr truth of P(n+1), n in N . On the basis of this, he could conclude that P(n) is true

A student was asked to prove a statement P(n) by induction. He proved that P(k+1) is true whenever P(k) is true for all k ge 5 in N and also that P(5) is true. On the basis of this he conclude that P(n) is true (i) AA n in W (ii) AA n gt 5 (iii) AA n ge 5 (iv) AA n lt 5

A student was asked to prove a statement P(n) by using the principle of mathematical induction. He proved that P(n) Rightarrow P(n+1) for all n in N and also that P(4) is true: On the basis of the above he can conclude that P(n) is true.

A student was asked to prove a statement P(n) by using the principle of mathematical induction. He proved that P(n) Rightarrow P(n+1) for all n in N and also that P(4) is true: On the basis of the above he can conclude that P(n) is true.

If P(n) is the statement n^(2)+n is even,and if P(r) is true then P(r+1) is true.

If P(n) is the statement n^2+n is even, and if P(r) is true then P(r+1) is true.

If P(n) is the statement ‘‘2^n ge n’’ , prove that P(r +1) is true whenever P(r) is true.

Let P(n) be the statement: 2^(n)>=3n. If P(r) is true,show that P(r+1) is true.Do you conclude that P(n) is true for all n in N