Arithmetic Progression
,Arithmetic Progression
• A progression is a special type of sequence for which it is possible to obtain a form
for the nth term. The Arithmetic Progression is the most commonly used sequenc
maths with easy to understand formulas.
• Definition 1: A mathematical sequence in which the difference between two
consecutive terms is always a constant and it is abbreviated as AP.
• Definition 2: An arithmetic sequence or progression is defined as a sequence of
numbers in which for every pair of consecutive terms, the second number is obtai
by adding a fixed number to the first one.
• The fixed number that must be added to any term of an AP to get the next term is
known as the common difference of the AP. Now, let us consider the sequence, 1,
7, 10, 13, 16,…
• It is considered as an arithmetic sequence (progression) with a common differenc
, Notation in Arithmetic
Progression
In AP, we will come across some main terms, which are denoted as:
First term (a)
Common difference (d)
nth Term (an)
Sum of the first n terms (Sn)
All three terms represent the property of Arithmetic Progression.
,Arithmetic Progression
• A progression is a special type of sequence for which it is possible to obtain a form
for the nth term. The Arithmetic Progression is the most commonly used sequenc
maths with easy to understand formulas.
• Definition 1: A mathematical sequence in which the difference between two
consecutive terms is always a constant and it is abbreviated as AP.
• Definition 2: An arithmetic sequence or progression is defined as a sequence of
numbers in which for every pair of consecutive terms, the second number is obtai
by adding a fixed number to the first one.
• The fixed number that must be added to any term of an AP to get the next term is
known as the common difference of the AP. Now, let us consider the sequence, 1,
7, 10, 13, 16,…
• It is considered as an arithmetic sequence (progression) with a common differenc
, Notation in Arithmetic
Progression
In AP, we will come across some main terms, which are denoted as:
First term (a)
Common difference (d)
nth Term (an)
Sum of the first n terms (Sn)
All three terms represent the property of Arithmetic Progression.
