Manipal MET2011MathematicsBasics of Mathematics
The inequation n! 2^ n-1 is true for
Options
- Afor all n N
- Bfor all n 1
- Cfor all n 2
- DNone of the above
Correct answer
C. for all n 2
Step-by-step solution
Given inequation is n! 2^ n-1 For n=1,2 array ll & 1! 1 & 1 1 and & 2! 2^1 2 2 array For n=3 aligned & 3! 2^2 & 6 4 aligned Hence, it is true for n 2 .