Progression: Progression is a list of numbers that exhibit a particular pattern.
Three types of Progression:
- Arithmetic progression: Arithmetic progression is a sequence of numbers in which the difference between any two consecutive numbers is a constant value. The constant value is called a common difference.
Example: is a geometric progression with a common difference .
- Geometric progression: A geometric progression is a sequence in which each consecutive element is obtained by multiplying/divide the preceding element by a constant. The constant value is called a common ratio.
Example: is a geometric progression with a common ratio .
- Harmonic progression: A harmonic progression is a sequence of real numbers which is determined by taking the reciprocals of the arithmetic progression that does not contain .
Example: is a harmonic progression. Reciprocal of each term of the sequence form an arithmetic progression.