NCERT Notes for Class 10 Maths Chapter 4 Arithmetic Progressions
Q1. What is an Arithmetic Progression (AP)?
Answer:
An arithmetic progression is a numerical sequence formed by adding a fixed number to the prior term beginning with the first term, so that the difference between the subsequent terms remains constant. It is abbreviated as A.P.
Q2. What is the formula for the nth term of an A.P.?
Answer:
an = a + ( n − 1) d where a be the first term and d be the common difference of an A.P.
Q3. How do you find the sum of the first n terms of an A.P.?
Answer:
Sn = n / 2 (2a + (n − 1) d ) where a be the first term and d be the common difference of an A.P.
Q4. How do you find the common difference of an A.P.?
Answer:
To find the common difference of an AP, you need to subtract any term from the term that comes after it. The result will be the common difference.
For example, let’s consider an AP with the first three terms as 2, 5, and 8. To find the common difference, we can subtract the second term from the first term or the third term from the second term.
Subtracting the second term from the first term: 5 – 2 = 3
Subtracting the third term from the second term: 8 – 5 = 3
Therefore, the common difference of this AP is 3.
Q5. What are some real-life applications of A.P.?
Answer:
Calculating interest rates, depreciation of assets, and even in the distribution of population over time
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.