How To Masterburate With An Egg

MISCELLANEOUS FINANCIAL POWERS

To find the power of a number used, usually, almost always, the definition of empowerment . That is: Given

and

however, sometimes do not realize that there is another way unusual to find the quadratic power a number without using explicitly the definition. For example:

One more:

What strange, no? Well, what happens is that these examples we used a very interesting discovery, we have left a legacy through the great Pythagoras.

Pythagoras discovered that there was another way to find the quadratic power of a number. This process consists of adding odd numbers starting from the unit to cover the amount of numbers that equal the given base. Symbolically:

is equivalent to the sum of the first odd natural numbers.

seems that everything is going well, but the method fails when trying to calculate the following, for example

The answer is obvious. We can not use the Pythagorean method because the base is not a number natural. Another

use. The Pythagorean method is generally used to calculate the sum of the first natural numbers. So we have:

whose proof is done using the method of proof by induction .

Source: Só mathematics.