If you’re like many of us, you have a pair of integers you’re always trying to figure out. How much do you love your spouse? How important is your job? How much money do you make? What’s your relationship with your kids like? Don’t feel bad about it. Most of us have multiple questions and are always trying to figure out how to answer them.
To really get into the nitty-gritty of all this, I suggest you start with the first question and learn how to solve it. If you need more motivation, then read on.
The first question is easy. Two integers are the sum of 2n. They can be any positive integer. The second question is even easier. Two integers are the difference of 2n. This is a trick question. If you’re feeling lazy, go ahead and plug in 1 and -5. Now, you have to figure out how to figure out the difference of 2n.
Try using the Pythagorean theorem (which states that if you have two sides of a right triangle, then the hypotenuse is the average of the two sides) to figure out the difference of 2n. If you plug in 4, then the difference of 4n is the average of the two sides. This is pretty much the answer you are looking for. The difference of two integers is the sum of the average of the two sides.
The answer is -5. The average of 2n is -5, so the difference of 4n is 5. The sum of the average of 2n and the difference of 4n is now -5, so the answer is -5.
Ok, so this answer is probably not so bad. In fact, it’s probably the best answer you’ll get unless you are a mathematician. However, this is not a general formula. You can use this equation to find a whole bunch of other values, for instance, 3+4+6+12+15+21+36+45+56+123… etc. The problem with this is that the average of a lot of values is -1.
the solution is to use the average of a bunch of values to find the value you want. The average of a bunch of values is -1 iff the average of the values is 1. And the average of a bunch of values is -1 iff the sum of all the values is 1.
The average of all the integers is -1 because all the integers have the same sum of 1. The sum of all the integers is -1 iff the sum of the integers is 1. And the sum of all the integers is -1 iff the average of all the integers is 1. Add that last bit to the equation that says -1 iff the sum of all the integers is 1.
If you want to find the value you want, you can use a very simple arithmetic formula: Add up the first and last numbers. Then multiply that number by itself. The sum of all the numbers is the same as the sum of the first number and the sum of the last number. So the value you want is 1.
As a result, you need to multiply the first number by itself.
