Selina Solutions for Class 10 maths Chapter 10 Arithmetic Progressions
Concise Selina Solutions for Class 10 maths Chapter 10 Arithmetic Progressions
In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, sequence 5, 7, 9, 11, 13, 15.. Each of the numbers in the list is called a term. It is an arithmetic progression with a common difference of 2; it can be positive, negative or zero. Natural numbers, whole numbers and integers are examples of arithmetic progressions.
An arithmetic progression having a finite number of terms is called a finite arithmetic progression.
An arithmetic progression having an infinite number of terms is called an infinite arithmetic progression.
The arithmetic progression general form is given by a, a + d, a + 2d, a + 3d, . ... Hence, the formula to find the nth term is:
an = a + (n – 1) × d