What are the types of progression?
Types of Progression:
Progression is a series of numbers that follow a certain pattern.
It is a kind of progression in which the difference between consecutive terms of the series are equal.
If are in arithmetic progression then,
The formula for an arithmetic progression to find term is , where is the first term of the series, is the common difference, is the number of terms, and is the term.
This is a series of numbers in which the ratio of consecutive elements is equal.
If are in geometric progression then,
The series can be rewritten as where is the common ratio.
The formula for a geometric progression to find term is , where is the first term of the series, is the number of terms, and is the common ratio.
This is a series in which the reciprocal of each of the terms in the series is in arithmetic progression.
The general form of a harmonic series is
Here are in AP.
The term of the AP is .
The formula for the term of a harmonic progression is .where is the first term of the AP series, is the common difference of the AP series, is the number of terms, and is the term.