Q. For $n \in N,\ 10^{n - 2} \geq 81n$ is
A) $n > 5$
B) $n \geq 5$
C) $n < 5$
D) $n > 8$
Explanation
(b)
Let $P(n):10^{n - 2} \geq 81n$
For $n = 4,\ 10^{2} \ngeq 81 \times 4$
For $n = 5,\ 10^{3} \geq 81 \times 5$
Hence, by mathematical induction for $n \geq 5$, the proposition is true.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.