CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set E

Read and download free pdf of CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set E. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 5 Arithmetic Progression Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern

Chapter 5 Arithmetic Progression Mathematics Worksheet for Class 10

Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks

Class 10 Mathematics Chapter 5 Arithmetic Progression Worksheet Pdf

 

ARITHMETIC PROGRESSIONS
 
Q.- If the term of m terms of an A.P. is the same as the sum of its n terms, show that the sum of its (m + n) terms is zero.
 
Sol. Let a be the first term and d be the common difference of the given A.P. Then,
Sm = Sn
m/2[2a + (m – 1) d] =  n/2[2a + (n – 1) d]
=> 2a(m – n) + {m (m – 1) – n (n – 1)} d = 0
=> 2a (m – n) + {(m2 – n2) – (m – n)} d = 0
=> (m – n) [2a + (m + n – 1) d] = 0
=>2a + (m + n – 1) d = 0
=> 2a + (m + n – 1) d = 0 [ m – n ≠ 0] ....(i)
Now, Sm+n = m + n/2 {2a + (m + n – 1) d}
Sm+n = m + n/2× 0 = 0 [Using equation (i)]
 
Q.- Four numbers are in A.P. If their sum is 20 and the sum of their square is 120, then find the middle terms.
 
Sol. Let the numbers are a – 3d, a – d, a + d, a + 3d
given a – 3d + a – d + a + d + a + 3d = 20
=> 4a = 20
=>a = 5
and (a – 3d)2 + (a – d)2 + (a + d)2 + (a + 3d)2= 120
4a2 + 20 d2 = 120
4 × 52 + 20 d2 = 120
d2 = 1 
=>d = ±1
Hence numbers are 2, 4, 6, 8
 
Q.-  If the nth term of an AP is (2n + 1) then find the sum of its first three terms.
 
Sol. an = 2n + 1
a1 = 2(1) + 1 = 3
a2 = 2(2) + 1 = 5
a3 = 2(3) + 1 = 7
∴  a1 + a2 + a3 = 3 + 5 + 7 = 15
 
SECTION A: 
 
1. For the given AP write the first term and the common difference. -5,-1,3,7,........ 
→ -5, 4
 
2. Write the first 4 terms of the AP if a =-1.25 and d = -0.25 
→ -125,-1.5 ,-1.75,-2
 
3. √3,√12,√27√48.....form an AP? Justify your answer 
→yes
 
4. Given l = 28, S9 =144, FIND a. 
→ 4
 
SECTION B: 
 
4. Find the 16th term of the AP: 2, 7, 12, . . . 
→ 47
 
5. Check whether 202 is a term of the list of numbers 5, 11, 17, 23, 
→ No
 
6. How many three-digit numbers are divisible by 3? 
→ 300
 
7. Which term of the AP: 6,13, 20, ---------, 216 is the middle term? 
→ 16
 
SECTION C: 
 
8. Prove that Sn – Sn-1 = an
 
9. An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.  
→ 64
 
10. Given a = 5, d = 3, an = 50, find n and Sn. 
→ 16,440
 
11. The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference 
→ 16, 8/3
 
SECTION D: 
 
12. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms. 
→ n2
 
13. The ratio of the 11th term to 18th term is 2:3. Find the ratio of the 5th term to the 21st term and also the ratio of the sum of first five terms to the sum of first 21 terms 
→ 1:3
5:49
 
14. Raghav buys a shop for Rs 120000. He pays half the amount in cash and agrees to pay the balance in 12 annual instalments of Rs 5000 each. If the rate of interest is 12% per annum and he pays with the instalment the interest due on the unpaid amount, find the total cost of the shop. (CBSE 2012) 
→ 166800
 
15. A small terrace at a football ground comprises of 15 steps each of which is 50m long and built of solid concrete. Each step has a rise of ¼m and a tread of ½m. Calculate the total volume of concrete required to build the terrace. (CBSE 2011) 
→ 750cm3
 
16 Show that the sum of an AP whose first term is a and the second term is b and the last term c is equal to (a+c)(b+c - 2a) ÷ 2(b - a) EXEMPLE

 

Please click on below link to download CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set E

Chapter 01 Real Numbers
CBSE Class 10 Mathematics Real Numbers And Polynomials Worksheet
CBSE Class 10 Mathematics Real Numbers Worksheet Set A
CBSE Class 10 Mathematics Real Numbers Worksheet Set B
CBSE Class 10 Mathematics Real Numbers Worksheet Set C
CBSE Class 10 Mathematics Real Numbers Worksheet Set D
CBSE Class 10 Mental Maths Real Numbers Worksheet
CBSE Class 10 Mental Maths Real Numbers Worksheet in Hindi
Chapter 02 Polynomials
CBSE Class 10 Mathematics Polynomials Worksheet Set A
CBSE Class 10 Mathematics Polynomials Worksheet Set B
CBSE Class 10 Mathematics Polynomials Worksheet Set C
CBSE Class 10 Mathematics Polynomials Worksheet Set D
CBSE Class 10 Mathematics Polynomials Worksheet Set E
CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A
CBSE Class 10 Mathematics Probability And Constructions Worksheet Set B
CBSE Class 10 Mathematics Probability Worksheet Set A
CBSE Class 10 Mental Maths Polynomials Worksheet
CBSE Class 10 Mental Maths Polynomials Worksheet in Hindi
Chapter 03 Linear Equations
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set A
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set B
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set C
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set D
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set E
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set F
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set G
CBSE Class 10 Mental Maths Pair Of Linear Equations In Two Variables Worksheet
CBSE Class 10 Mental Maths Pair Of Linear Equations In Two Variables Worksheet in Hindi
Chapter 04 Quadratic Equation
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set A
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set B
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set C
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set D
CBSE Class 10 Mental Maths Quadratic Equations Worksheet
CBSE Class 10 Mental Maths Quadratic Equations Worksheet in Hindi
Chapter 05 Arithmetic Progression
CBSE Class 10 Arithmetic Progression Printable Worksheet Set A
CBSE Class 10 Arithmetic Progression Printable Worksheet Set B
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set A
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set B
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set C
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set D
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set E
CBSE Class 10 Mental Maths Arithmetic Progressions Worksheet
CBSE Class 10 Mental Maths Arithmetic Progressions Worksheet in Hindi
Chapter 06 Triangles
CBSE Class 10 Mathematics Triangles Worksheet Set A
CBSE Class 10 Mathematics Triangles Worksheet Set B
CBSE Class 10 Mathematics Triangles Worksheet Set C
CBSE Class 10 Mathematics Triangles Worksheet Set D
CBSE Class 10 Mathematics Triangles Worksheet Set E
CBSE Class 10 Mental Maths Similar Triangles Worksheet
CBSE Class 10 Mental Maths Similar Triangles Worksheet in Hindi
Chapter 07 Coordinate Geometry
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set B
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set C
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set D
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set E
CBSE Class 10 Mental Maths Coordinate Geometry Worksheet
CBSE Class 10 Mental Maths Coordinate Geometry Worksheet in Hindi
Chapter 08 Trigonometry
CBSE Class 10 Mathematics Trignometry Printable Worksheet Set B
CBSE Class 10 Mathematics Trignometry Printable Worksheet Set C
CBSE Class 10 Mathematics Trignometry Printable Worksheet Set D
CBSE Class 10 Mathematics Trignometry Printable Worksheet Set E
CBSE Class 10 Mathematics Trignometry Printable Worksheet Set F
CBSE Class 10 Trigonometry Printable Worksheet Set A
Chapter 09 Applications of Trigonometry
CBSE Class 10 Application of Trigonometry Worksheet Set B
CBSE Class 10 Mathematics Application of Trignometry Worksheet Set A
CBSE Class 10 Mathematics Application of Trignometry Worksheet Set B
CBSE Class 10 Mathematics Application of Trignometry Worksheet Set C
CBSE Class 10 Mental Maths Trigonometry And Its Applications Worksheet
CBSE Class 10 Mental Maths Trigonometry And Its Applications Worksheet in Hindi
Chapter 10 Circles
CBSE Class 10 Mathematics Circles Worksheet Set A
CBSE Class 10 Mathematics Circles Worksheet Set B
CBSE Class 10 Mathematics Circles Worksheet Set C
CBSE Class 10 Mathematics Circles Worksheet Set D
CBSE Class 10 Mathematics Circles Worksheet Set E
CBSE Class 10 Mathematics Circles Worksheet Set F
CBSE Class 10 Mathematics Circles Worksheet Set G
CBSE Class 10 Mental Maths Areas Related To Circle Worksheet
CBSE Class 10 Mental Maths Circle Worksheet
CBSE Class 10 Mental Maths Circle Worksheet in Hindi
Chapter 11 Construction
CBSE Class 10 Mental Maths Geometrical Constructions Worksheet
CBSE Class 10 Mental Maths Geometrical Constructions Worksheet in Hindi
CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set A
Chapter 12 Areas related to Circles
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set A
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set B
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set C
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set D
CBSE Class 10 Mental Maths Areas Related To Circle Worksheet in Hindi
Chapter 13 Surface Area and Volume
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set A
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set C
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set D
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set E
CBSE Class 10 Mental Maths Surface Areas And Volumes Worksheet
CBSE Class 10 Mental Maths Surface Areas And Volumes Worksheet in Hindi
Chapter 14 Statistics
CBSE Class 10 Mathematics Statistics Worksheet Set A
CBSE Class 10 Mathematics Statistics Worksheet Set B
CBSE Class 10 Mathematics Statistics Worksheet Set C
CBSE Class 10 Maths Statistics And Probabilty Worksheet
CBSE Class 10 Mental Maths Statistics And Probabilty Worksheet
CBSE Class 10 Mental Maths Statistics And Probabilty Worksheet in Hindi
Chapter 15 Probability
CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A
CBSE Class 10 Maths Probabilty Worksheet
z More Worksheets for Class 10 Mathematics
CBSE Class 10 Mathematics Question Bank
CBSE Class 10 Mathematics Worksheet Set A Solved
CBSE Class 10 Mathematics Worksheet Set B Solved
CBSE Class 10 Mathematics Worksheet Set C Solved
CBSE Class 10 Mathematics Worksheet Set D
CBSE Class 10 Mathematics Worksheet Set E
CBSE Class 10 Mathematics Worksheet Set F
Tags
Printable Worksheets for Class 10
Class 10 Arithmetic Progression Printable Worksheets
Class 10 Arithmetic Progression pdf test papers
Class 10 Arithmetic Progression Printable Worksheets pdf
Class 10 Arithmetic Progression
Arithmetic Progression Class 10 Printable Worksheets
Class 10 Arithmetic Progression Chapter Worksheets
Printable Worksheets for Class 10 Arithmetic Progression

Chapter 5 Arithmetic Progression CBSE Class 10 Mathematics Worksheet

The above practice worksheet for Chapter 5 Arithmetic Progression has been designed as per the current syllabus for Class 10 Mathematics released by CBSE. Students studying in Class 10 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 10 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 10 Mathematics students to get all the latest study material free of cost. Teachers of studiestoday have referred to the NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 worksheet. After solving the questions given in the practice sheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter. We have also provided a lot of other Worksheets for Class 10 Mathematics which you can use to further make yourself better in Mathematics.

Where can I download latest CBSE Practice worksheets for Class 10 Mathematics Chapter 5 Arithmetic Progression

You can download the CBSE Practice worksheets for Class 10 Mathematics Chapter 5 Arithmetic Progression for the latest session from StudiesToday.com

Are the Class 10 Mathematics Chapter 5 Arithmetic Progression Practice worksheets available for the latest session

Yes, the Practice worksheets issued for Chapter 5 Arithmetic Progression Class 10 Mathematics have been made available here for the latest academic session

Is there any charge for the Practice worksheets for Class 10 Mathematics Chapter 5 Arithmetic Progression

There is no charge for the Practice worksheets for Class 10 CBSE Mathematics Chapter 5 Arithmetic Progression you can download everything free

How can I improve my scores by solving questions given in Practice worksheets in Chapter 5 Arithmetic Progression Class 10 Mathematics

Regular revision of practice worksheets given on studiestoday for Class 10 subject Mathematics Chapter 5 Arithmetic Progression can help you to score better marks in exams

Are there any websites that offer free Practice test papers for Class 10 Mathematics Chapter 5 Arithmetic Progression

Yes, studiestoday.com provides all the latest Class 10 Mathematics Chapter 5 Arithmetic Progression test practice sheets with answers based on the latest books for the current academic session