Q. If $P(n)$ is a statement such that $P(3)$ is true. Assuming $P(k)$ is true $\Rightarrow P(k + 1)$ is true for all $k \geq 3,$ then $P(n)$ is true
A) For all $n$
B) For $n \geq 3$
C) For $n > 4$
D) None of these
Explanation
(b)
Since, $P(3)$ is true.
Assume $P(k)$ is true $\Rightarrow P(k + 1)$ is true means, if $P(3)$ is true $\Rightarrow P(4)$ is true $\Rightarrow P(5)$ is true and so on. So, statement is true for all $n \geq 3$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.