Fundamentals of Mathematics

If $$P(n)$$ is the statement $$''2^n\ge 3n"$$ and if $$P(r)$$ is true prove that $$P(r+1)$$ is true.
Sarvesh made $$54$$ runs in $$9$$ overs and Abhishek made $$77$$ runs in $$11$$ overs. Who made more runs per over?
The connective in the statement 
 " Earth revolves round the sun and moon is a satellite of earth" is ____________.  
Expand : $$(4x-3y-2z)^{2}$$.
Conditional: If she is rich, then she is happy.