What are progressions?
Progressions are sequences of numbers, that are arranged in accordance with a specific formula, that can be used to obtain the nth number of that sequence.
The main characteristic of a progression is that it has a specific formula. If a sequence of number is arranged according to some rule, but not according to a formula, then it is not a progression.
For example, the sequence of prime numbers is not a progression, but only a sequence of numbers, because, the formula for obtaining the nth prime number has not been obtained. This is discussed in detail in this post.
Types of progressions
There are many types of progressions based on the kind of mathematical operation that is used to obtain the next term of the progression. For instance,
Progressions are sequences of numbers, that are arranged in accordance with a specific formula, that can be used to obtain the nth number of that sequence.
The main characteristic of a progression is that it has a specific formula. If a sequence of number is arranged according to some rule, but not according to a formula, then it is not a progression.
For example, the sequence of prime numbers is not a progression, but only a sequence of numbers, because, the formula for obtaining the nth prime number has not been obtained. This is discussed in detail in this post.
Types of progressions
There are many types of progressions based on the kind of mathematical operation that is used to obtain the next term of the progression. For instance,
- An arithmetic progression is a progression in which the next term is obtained by addition
- A geometric progression is a progression in which the next term is obtained by multiplication
- Harmonic progression is a progression obtained by taking the reciprocals of each term of an arithmetic progression.
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