Read and download CBSE Class 10 Maths Arithmetic Progressions in NCERT book for Class 10 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 10 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 10 Mathematics to understand the answers of the exercise questions given at the end of this chapter
NCERT Book for Class 10 Mathematics Chapter 5 Arithmetic Progressions
Class 10 Mathematics students should refer to the following NCERT Book Chapter 5 Arithmetic Progressions in Class 10. This NCERT Book for Class 10 Mathematics will be very useful for exams and help you to score good marks
Chapter 5 Arithmetic Progressions NCERT Book Class 10
Chapter 5
Arithmetic Progressions
Arithmetic Progression
Let us consider the following set of members :
1, 5, 9, 13, 17………….
9, 12, 15, 18, 21……..
-5, 0, 5, 10, 15………
1.3, 1.6, 1.9, 2.2……..…
All these sets follow certain rules. In first set 5 - 1 = 9 - 5 = 13 - 9 = 17 - 13 = 4
In second set 12 - 9 = 15 - 12 = 18 - 15 = 21 - 18 = 3
and so on. In first set the number after 17 in 17 + 4 = 21 and in second set number after
21 is 21 + 3 = 24. In this way we find that in first set second number is 1+ 4 = 5, third
number is 5 + 4 = 9 = 1 + 2 x 4 and son on.
On the basis of above discussion we can consider the following series
a, a + d, a + 2d, a + 3d, .........................
Here a = 1, d = 4
a + d = 1 + 4 = 5
a + 2d = 1 + 2 x 4 = 9
and so on
Thus we can say that
a = First term
a + d = Second term
a + 2d = Third term
a + 3d = Fourth term and son on
nth term = a + (n - 1)d
Here First term = t1 = a
Second term = t2 = a + d
and hence, tn = a + (n - 1)d
d is called common difference and the series is called arithmultic progression
Let s = 1 + 2 + 3 + 4 + 5 + 6 + 7 + + 8 + 9 + 10 and writting in reversed order
S = 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
Adding these two we get 2s = 11 + 11 + 11 + 11 + 11 + 11 + 11 = 11 + 11 + 11
= 10 X 11
s = (10 X 11)/2 = 55
Exercise - 8
Find the common difference of the A.P. and write the next two terms:
1. 1/2, 5/2, 9/2, 13/2, ---------
3. 3.5, 4, 4.5, 5, -------------
2. 6, 10, 14, 18,---------
4. 0, 1/3, 2/3, 1, -------
5. Find 15th term of -10, -5, 0, 5, ------
7. a, b, c are in A.P. show that 2b = a + c
6. Find 11th term of 1/2, 3/4, 1, 5/4, ------
Find the nth term of the following:
8. 2, 5, 8, 11, ------------
9. 1, 2.5, 4, 5.5, -----------
Find tnof the following term
10. t1 = 1, t6 = 11
Please refer to attached file for CBSE Class 10 Maths Arithmetic Progressions
| NCERT Class 10 Maths Real Numbers |
| NCERT Class 10 Maths Real Numbers Questions |
| NCERT Class 10 Maths Polynomials |
| NCERT Class 10 Maths Polynomials Questions |
| CBSE Class 10 Maths Linear Equations |
| NCERT Class 10 Maths Pair Of Linear Equations |
| NCERT Class 10 Maths Pair Of Linear Equations Questions |
| NCERT Class 10 Maths Quadratic Equations |
| NCERT Class 10 Maths Quadratic Equations Questions |
| CBSE Class 10 Maths Arithmetic Progressions |
| NCERT Class 10 Maths Arithmetic Progressions |
| NCERT Class 10 Maths Arithmetic Progressions Questions |
| CBSE Class 10 Maths Similar Triangles |
| NCERT Class 10 Maths Triangles |
| NCERT Class 10 Maths Triangles Questions |
| CBSE Class 10 Maths Coordinate Geometry |
| NCERT Class 10 Maths Coordinate Geometry |
| NCERT Class 10 Maths Coordinate Geometry Questions |
| NCERT Class 10 Maths Introduction To Trigonometry |
| NCERT Class 10 Maths Introduction To Trigonometry Questions |
| NCERT Class 10 Maths Some Applications Of Trigonometry |
| NCERT Class 10 Maths Circles |
| NCERT Class 10 Maths Circles Questions |
| NCERT Class 10 Maths Constructions |
| NCERT Class 10 Maths Constructions Questions |
| NCERT Class 10 Maths Areas Related To Circles |
| NCERT Class 10 Maths Areas Related To Circles Questions |
| NCERT Class 10 Maths Surface Areas And Volumes |
| NCERT Class 10 Maths Surface Areas And Volumes Questions |
| NCERT Class 10 Maths Statistics |
| NCERT Class 10 Maths Statistics Questions |
| CBSE Class 10 Maths Probability |
| NCERT Class 10 Maths Probability |
| NCERT Class 10 Maths Answers and Solutions |
| NCERT Class 10 Maths Proofs In Mathematics |
| NCERT Class 10 Maths Mathematical Modelling |
Mathematics NCERT Book Class 10 Chapter 5 Arithmetic Progressions
The above NCERT Books for Class 10 Mathematics Chapter 5 Arithmetic Progressions have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 5 Arithmetic Progressions Mathematics Class 10 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 5 Arithmetic Progressions NCERT etextbooks as the exams for Class 10 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 10 Chapter 5 Arithmetic Progressions book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 10 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 10 students.
NCERT Book Class 10 Mathematics Chapter 5 Arithmetic Progressions
The latest NCERT book for Chapter 5 Arithmetic Progressions pdf have been published by NCERT based on the latest research done for each topic which has to be taught to students in all classes. The books for Class 10 Mathematics Chapter 5 Arithmetic Progressions are designed to enhance the overall understanding of students. All Class 10 NCERT textbooks have been written in an easy to understand language which will help to enhance the overall level of Class 10 students.
Chapter 5 Arithmetic Progressions NCERT Book Class 10 Mathematics
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Class 10 Mathematics Chapter 5 Arithmetic Progressions NCERT Book
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Class 10 Chapter 5 Arithmetic Progressions NCERT Book Mathematics
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