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Revision Notes for Class 10 Mathematics Chapter 5 Arithmetic Progressions
Class 10 Mathematics students should refer to the following concepts and notes for Chapter 5 Arithmetic Progressions in Class 10. These exam notes for Class 10 Mathematics will be very useful for upcoming class tests and examinations and help you to score good marks
Chapter 5 Arithmetic Progressions Notes Class 10 Mathematics
CBSE Class 10 Mathematics - Arithmetic Progressions Concepts. Learning the important concepts is very important for every student to get better marks in examinations. The concepts should be clear which will help in faster learning. The attached concepts made as per NCERT and CBSE pattern will help the student to understand the chapter and score better marks in the examinations.
Class X
Chapter 5: Arithmetic Progressions
Chapter Notes
Top Definitions
1. An arithmetic progression is a list of numbers in which each term is obtained by adding a fixed number d to the preceding term, except the
first term.
2. The difference between the two successive term of an A.P is called the common difference.
3. Each of the number in the list of arithmetic progression is called a term of an A.P
4. The arithmetic progression having finite number of terms is called a finite arithmetic progression.
5. The arithmetic progression having infinite number of terms is called an infinite arithmetic progression.
Top Concepts
1. A list of numbers a1, a2, a3…… is an A.P, if the differences a2–a1, a3–a2, a4–a3 … give the same value i.e ak+1 – ak is same for all different values of k.
2. The general form of an A.P is a, a+ d, a+ 2d, a+3d…..
3. If the A.P a, a+d, a+ 2d……… l is reversed to l , l -d, l -2d………a, then the common difference changes to negative of original sequence common difference.
4. The nth term of an A.P is the difference of the sum to first n terms and the sum to first (n-1) terms of it. i.e an=sn-sn-1
Top Formulae
1. The general term of an A.P is given by:
an = a + (n-1)d where a is the first term and d is the common difference.
2. Sum of n terms of an A.P is given by:
Sn=2/n[2a +(n -1)d]
where a is the first term, d is the common difference and n is the total number of terms.
3. Sum of n terms of an A.P is also given by:
Sn = n/2 [ a + l ]
Where a is the first term and l is the last term.
4. The general term of an A.P l , l -d, l -2d…….. is given by:
a = l + (n-1)(-d)
where l is the last term, d is the common difference and n is the number of terms.
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CBSE Class 10 Mathematics Chapter 5 Arithmetic Progressions Notes
We hope you liked the above notes for topic Chapter 5 Arithmetic Progressions which has been designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download and practice the above notes for Class 10 Mathematics regularly. All revision notes have been designed for Mathematics by referring to the most important topics which the students should learn to get better marks in examinations. Our team of expert teachers have referred to the NCERT book for Class 10 Mathematics to design the Mathematics Class 10 notes. After reading the notes which have been developed as per the latest books also refer to the NCERT solutions for Class 10 Mathematics provided by our teachers. We have also provided a lot of MCQ questions for Class 10 Mathematics in the notes so that you can learn the concepts and also solve questions relating to the topics. We have also provided a lot of Worksheets for Class 10 Mathematics which you can use to further make yourself stronger in Mathematics.
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