Types of Arithmetic Progressions
We can classify the Arithmetic Progressions either based on the number of terms or signs of common difference. Let’s discuss these classifications in detail as follows:
Increasing and Decreasing APs
An A.P. is called Increasing if the common difference for the A.P. is positive i.e., terms of A.P. increases in value whereas A.P. is called decreasing if the common difference for A.P. is negative i.e., terms of A.P. decreases in value. “1, 2, 3, 4, . . ” is an example of increasing A.P. whereas “4, 1, -2, . . .” is an example of decreasing A.P.
Finite and Infinite APs
A.P. with a finite number of terms in it is called Finite A.P. whereas the Arithmetic Progressions with an endless number of terms are called Infinite A.P. For example, 2, 4, 6, 8 is a finite AP with four terms. Similarly, 1, 4, 7, 10, and 13 are other examples of finite AP with five terms, and “1, 2, 3, 4, …” is an infinite AP with a common difference of 1. Another example is “-3, -6, -9, -12, …,” which is an infinite AP with a common difference of -3.
Arithmetic Progressions Class 10 Maths Notes Chapter 5
CBSE Class 10 Maths Notes Chapter 4 Arithmetic Progressions are an outstanding resource created by our team of knowledgeable Subject Experts at GfG. As ardent supporters of students’ education, we place a high priority on their learning and development, which is why we have written these in-depth notes to aid them in comprehending the challenging subject of arithmetic progressions.
Chapter 4 of the NCERT Class 10 Maths textbook finds the nth term of an arithmetic progression, summing the n terms of an arithmetic progression, calculating the arithmetic mean, and many other topics covered. These notes are intended to give students a thorough overview of the entire chapter, covering all the crucial topics, formulas, and ideas they will need to know to ace their examinations.