Grocery List - Common Geometric Series Examples

Grocery List - Common Geometric Series ExamplesA great example of a 'well-known' group of numbers is the geometric series, which is also known as the infinite series. To put it briefly, this series shows the relationship between certain specific numbers and other specific numbers. For example, for any particular number x and any given number a the geometric series has an upper bound: The sum of the two numbers is itself the same number that were first multiplied by the second number, and so on.If you are not aware of what the geometric series is, here is a definition: The geometric series of numbers is the collection of all the number patterns. For example, the first number in the geometric series is the number that would be the first prime number. It is also called the real line of prime numbers.A second example is the circle. A circle is a particularly intriguing example because it shows the relationship between a number, known as a radius, and another number, known as a circumfere nce. The shape of a circle is formed by the reciprocal of the diameter, and this reciprocal is called the diameter. So, if you multiply out the second number (the circumference) by the diameter, you will get the original circle that was formed by this relationship.So far we have looked at the geometric series and the circle, but there are many other examples of the geometric series, which makes it a good example of the series. The number of geometric series that exist is therefore enormous. In fact, the largest geometric series is the Harmonic series.Another geometric series is the Fibonacci series, which shows the sequence of numbers in a line, where the order of the lines does not matter. This series is very similar to the classic algorithm for making any numbers out of a set.The harmonic series, or the 'harmonic family,' is a group of natural numbers that form a well-known family of numbers. The names that are associated with this series are important. These names are all related to sound, and many times the numbers are called the Harmonic keys or the Harmonic tones.The numbers are the four-tone name for the tones that are created when you rub the fingernail of your left hand with the right number. When you hear a harmonic tone, you don't recognize it as such because it doesn't seem like music.An interesting note about the simple geometric series is that it shows the relationship between a specific number and its next higher number. This gives the collection of all numbers its upper bound.