Prove that (from i=1 to n) sum([1/((2i-1)(2i+1))] = n/(2n+1). if true use induction, else give smallest value of n that it is false for.

The statement is true

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n,

We will prove our base case, when n=1, to be true.

base case:

Inductive hypothesis:

Now, we will assume the induction hypothesis and then uses this assumption, involving n, to prove the statement for n + 1.

Inductive step:

With this we have proved our statement to be true for n+1.

In conlusion, for every natural .

so what is the question

step-by-step explanation:

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !