question_answer

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  \[k\ge 5,k\in N\] and also P(5) is true. On the basis of this he could conclude that P(n) is true

A)  \[for\text{ }all\text{ }n\in N\]   

B)  \[for\text{ }all\text{ }n<5\]    

C)  \[for\text{ }all\text{ }n>5\]    

D)  \[for\text{ }all\text{ }n>5\]