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If arithmetic progression did not exist you would not be able to count beyond 1, 2. Since 3 is the next number in the arithmetic progression. In effect there would be no arithmetic and no mathematics.

And before you cheer at the thought of one less subject to study, there would be no technology. You would still be living in a cave and have to do everything for yourself - since any kind of trade requires valuing what you have to "sell" or "buy" and that requires some form of counting.

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Q: What happen if arithmetic progressions does not exist?
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Who invented arithmetic progression?

The concept of arithmetic progression was not invented by a single individual, as it has been developed over centuries by various mathematicians. However, the ancient Greek mathematician Pythagoras and his followers made significant contributions to the study of arithmetic progressions. They explored the properties and patterns of these sequences, laying the foundation for the modern understanding of arithmetic progressions.


What are applications of arithmetic progression in daily life?

Arithmetic progressions are commonly used in various real-life scenarios, such as calculating interest on loans or investments, determining the depreciation of assets over time, and predicting population growth. They are also used in creating schedules, budgets, and analyzing trends in data sets. Additionally, arithmetic progressions are utilized in fields like physics to model motion and in computer science for algorithms and data structures.


How do you do a project on Designs and patterns using arithmetic progressions?

You can use a couple different methods for this. Using Pascal's triangle you can keep making shapes that are bigger proportionally.


What is a rectangular number sequence?

A rectangular number sequence is the sequence of numbers of counters needed to construct a sequence of rectangles, where the dimensions of the sides of the rectangles are whole numbers and change in a regular way. The individual sequences representing the sides are usually arithmetic progressions, but could in principle be given by difference equations, geometric progressions, or functions of the dimensions of the sides of previous rectangles in the sequence.


What is an arithmetic series?

An arithmetic series is the sum of the terms in an arithmetic progression.

Related questions

Where can Arithmetic Progressions be used?

everywhere!!


Who was the founder of arithmetic progressions on maths?

Aryabhatt


How you can write an account of prime numbers in arithmetic progressions?

There is no simple answer because there is no simple rule for primes: it is certainly NOT an arithmetic progression.


What was Paul Erdos major contributions?

Erdos' Conjecture on Arithmetic Progressions (Wikipedia.org)


What are applications of arithmetic progression in daily life?

Arithmetic progressions are commonly used in various real-life scenarios, such as calculating interest on loans or investments, determining the depreciation of assets over time, and predicting population growth. They are also used in creating schedules, budgets, and analyzing trends in data sets. Additionally, arithmetic progressions are utilized in fields like physics to model motion and in computer science for algorithms and data structures.


How do you do a project on Designs and patterns using arithmetic progressions?

You can use a couple different methods for this. Using Pascal's triangle you can keep making shapes that are bigger proportionally.


What is harmonic progressions in maths give examples?

Harmonic progressions is formed by taking the reciprocals of an arithmetic progression. So if you start with some number a, and add a common difference d each time, the arithmetic progression would be a, a+d, a+2d, a+3d etc. The harmonic progression comes from taking the reciprocals of these terms. So we have a, a/(1+d), a/(1+2d), a/( 1+3d)... Here is a harmonic progression: 1/6, 1/4, 1/3, ....


How do you find the sum of a series of numbers?

There is no simple answer. There are simple formulae for simple sequences such as arithmetic or geometric progressions; there are less simple solutions arising from Taylor or Maclaurin series. But for the majority of sequences there are no solutions.


Are chord progressions copyrighted?

No, chord progressions are not copyrighted. Copyright protection does not extend to basic musical elements like chord progressions.


When was Progressions of Power created?

Progressions of Power was created in 1979-12.


How can I learn how to do chord progressions effectively?

To learn how to do chord progressions effectively, study music theory, practice playing different chords, analyze songs to understand common progressions, and experiment with creating your own progressions.


What is a rectangular number sequence?

A rectangular number sequence is the sequence of numbers of counters needed to construct a sequence of rectangles, where the dimensions of the sides of the rectangles are whole numbers and change in a regular way. The individual sequences representing the sides are usually arithmetic progressions, but could in principle be given by difference equations, geometric progressions, or functions of the dimensions of the sides of previous rectangles in the sequence.