Progressions

A progression is a sequence of numbers where each term is generated from the previous term(s) by a fixed rule. The two most important types are:

• Arithmetic progression (AP): Each term is obtained by adding a fixed number (the common difference) to the previous term.
• Geometric progression (GP): Each term is obtained by multiplying the previous term by a fixed number (the common ratio).

Important properties

• Progressions have formulas to find the nth term and the sum of the first n terms.

• Recognizing the type of progression helps in solving sequence problems.

• Progressions can be finite (with a last term) or infinite.