Arithmetic Progression | Chapter 5 | Class 10th | Quick Revision (22-23) | NCERT | Maths

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Dear students, In this chapter we will learn about Arithmetic Progression.

Below ⬇️ are the tutorial notes and videos.


Sequence and series                     

 A sequence is defined as an arrangement of numbers in a particular order.

 On the other hand, a series is defined as the sum of the elements of a sequence.

  A sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule.

 If ₐ₁,ₐ₂,ₐ₃,ₐ₄,......... etc. denote the terms of a sequence, then 1,2,3,4,.....denotes the position of the term.

A sequence can be defined based upon the number of terms i.e. either finite sequence or infinite sequence.

  If ₐ₁,ₐ₂,ₐ₃,ₐ₄,.........  is a sequence, then the corresponding series is given by

Sₙ= ₐ₁+ ₐ₂+ₐ₃+ₐ₄……ₐₙ

Note: The series is finite or infinite depending if the sequence is finite or infinite.

PROGRESSION

A progression is a series that advances in a logical and predictable pattern. In mathematics, for example, the series 2, 4, 6, 8 is an arithmetic progression. If asked to give the next number, most people would reply 10. A movement forward, especially one that advances toward some achievement, is called a progression.

 The difference between a progression and a sequence is that a progression has a specific formula to calculate its nth term, whereas a sequence can be based on a logical rule like 'a group of prime numbers', which does not have a formula associated with it.

  TYPES OF PROGRESSION
  Arithmetic Progression (AP) A sequence of numbers is called an arithmetic progression if the difference between any two consecutive terms is always same. ...
   Geometric Progression (GP) ...
   Harmonic Progression (HP) ...























For any doubt don’t hesitate to comment below ⬇️ or in YouTube.

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