Answer:

Step-by-step explanation:
we know that
In the diagram


Equate


Answer:
Step-by-step explanation:
Answer:
1/3 + 3/4 + 4/6 +1/2 =
Step-by-step explanation:
1/6 + 4/6 = 5/6
3/4 + 1/4 = 4/4
5/6 + 4/4 = 9/12
Base case: For
, the left side is 2 and the right is
, so the base case holds.
Induction hypothesis: Assume the statement is true for
, that is

We want to show that this implies truth for
, that

The first
terms on the left reduce according to the assumption above, and we can simplify the
-th term a bit:


so the statement is true for all
.