Math Book Cambodia: Prove that `(1/2).(3/4)......((2n-1)/(2n))\leq1/sqrt(3n+1)`

Tuesday, April 18, 2023

This is the problem that I picked up from book : 101 Solved Problem in Algebra from The USA IMO with the 43th problem.

As you see, this problem is related to natural number $N$ $N$ , So the easiest method to solve this problem is using Mathematics Induction which you need to prove that statement is true for $n = 1$ $n=1$ , supposed that statement is true for $n = k$ $n=k$ then the finally step is to prove It is true with $n = k + 1$ $n=k+1$ .
I also translate this problem in to Khmer Language for all of you to be easy to understand both problem and solution.

Math Book Cambodia