Arithmetic Progression (AP) or Arithmetic Sequence is simply a sequence of numbers such that the difference between any two consecutive terms is constant.
Some Real World Examples of AP
- Natural Numbers: 1, 2, 3, 4, 5, . . . with a common difference 1
- Even Numbers: 2, 4, 6, 8, 10, . . . with a common difference 2
- Odd Numbers: 1, 3, 5, 7, 9, . . . with a common difference 2
- Table of a Number say 3: 3, 6, 9, 12, 15, 18, . . . with a common difference 3
The following images show more real world examples
Basics
This section covers the basics of arithmetic progressions, including how to find terms, sums, and common differences, along with real-life applications and tips for solving problems efficiently.
- Arithmetic Sequence
- Arithmetic Sequence Formula
- Common Difference
- Arithmetic Series
- How to Find the Nth Term of an AP
- Sum of n Terms
- Properties of Arithmetic Progression
- Real-life Applications of Arithmetic Sequence
- Tricks to Solve Progressions Questions Quickly
Practice Questions
This section provides practice questions on arithmetic sequences and series, ranging from basic to advanced, helping you strengthen your understanding and problem-solving skills.
- Practice Questions on Arithmetic Sequence (Basic)
- Practice Questions on Arithmetic Sequence (Advanced)
- Practice Questions on Arithmetic Series
For Programmers
This section teaches programmers how to work with arithmetic progressions through coding, including checking sequences, finding missing numbers, and calculating sums in Python.