CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set A

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Read and download free pdf of CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set A. 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.- Determine the general term of an A.P. whose 7th term is –1 and 16th term 17.
 
Sol. Let a be the first term and d be the common difference of the given A.P. Let the A.P. be a1, a2, a3, ....... an, .......
It is given that a7 = – 1 and a16 = 17
a + (7 – 1) d = – 1 and, a + (16 – 1) d = 17
=>  a + 6d = – 1                ....(i)
and, a + 15d = 17            ....(ii)
Subtracting equation (i) from equation (ii), we get
9d = 18
=>  d = 2
Putting d = 2 in equation (i), we get
a + 12 = – 1  
=> a = – 13
Now, General term = an
=>  a + (n – 1) d = – 13 + (n – 1) × 2 = 2n – 15
 
Q.-  If five times the fifth term of an A.P. is equal to 8 times its eight term, show that its 13th term is zero.
 
Sol. Let a1, a2, a3, ..... , an, .... be the A.P. with its first term = a and common difference = d.
It is given that 5a5 = 8a8
=> 5(a + 4d) = 8 (a + 7d)
=> 5a + 20d = 8a + 56d    => 3a + 36d = 0
=>3(a + 12d) = 0              => a + 12d = 0
=> a + (13 – 1) d = 0         => a13 = 0
 
Q.- If m times mth term of an A.P. is equal to n times its nth term, show that the (m + n) term of the A.P. is zero.
 
Sol. Let a be the first term and d be the common difference of the given A.P. Then, m times mth term = n times nth term
=> mam = nan
=> m{a + (m – 1) d} = n {a + (n – 1) d}
=> m{a + (m – 1) d} – n{a + (n – 1) d} = 0
=>a(m – n) + {m (m – 1) – n(n – 1)} d = 0
=> a(m – n) + (m – n) (m + n – 1) d = 0
=> (m – n) {a + (m + n – 1) d} = 0
=> a + (m + n – 1) d = 0
=> am+n = 0
Hence, the (m + n)th term of the given A.P. is zero.
 
Q.- If the pth term of an A.P. is q and the qth term is p, prove that its nth term is (p + q – n).
 
Sol Let a be the first term and d be the common difference of the given A.P. Then,
pth term = q => a + (p – 1) d = q ....(i)
qth term = p => a + (q – 1) d = p ....(ii)
Subtracting equation (ii) from equation (i),we get
(p – q) d = (q – p) => d = – 1
Putting d = – 1 in equation (i), we get
a = (p + q – 1)
nth term = a + (n – 1) d
= (p + q – 1) + (n – 1) × (–1) = (p + q – n)
 
 
SECTION A: 
 
1. Check whether the sequence formed with an =2n2 forms an A.P.
 
2. Find an A.P., if the nth term of an A.P is 5 – 2n.
 
3. If the sum of first n terms of an A.P. is 2n2 + 5n, then find its nth term.
 
4. If 4/5, a and 2 are three consecutive terms of an A.P., then find the value of a.
 
5. If the sum of first p terms of an A.P. is ap2 + bp, find its common difference.
 
6. Find the next term of an A.P. √8 , √18,√32, …..
 
7. Find the common difference of the A.P. (-9-4a), (-8-3a), (-7-2a),……
 
8. For what value of k, (2k+1), 8, 3k form an A.P.?
 
9. Find the missing terms of the A.P. 23, ____, 69,____.
 
10. Find the nth term of the A.P. -2, -5, -8, …..
 
SECTION B: 
 
11. Which term of the A.P 36, 31, 26, 21, … is the first negative term?
 
12. Is 497 a term of the A.P 56, 63, 70, ….?
 
13. Find the 6th term from the end of the A.P. 17, 14, 11, …. – 40.
 
14. Which term of the A.P 3, 10, 17,…. Will be 84 more than its 13th term?
 
15. Show that (a – b), a, (a + b) are in A.P.
 
16. How many numbers of three digits are divisible by 7?
 
17. Which term of the A.P. 18, 16, 14, …… is zero?
 
18. Find the sum of first n odd natural numbers?
 
19. The sum of n terms of an A.P is n2 + 3n. Find its 20th term.
 
20. Find the sum of first 225 natural numbers.
 
SECTION C: 
 
21. Find the sum of the first 25 terms of an A.P. whose nth term is given by an = 2 – 3n.
 
22. If m times the mth term of an A.P. is equal to n times its nth term, find its (m + n)th term.
 
23. The 4th and 10th terms of an A.P. are 13 and 25 respectively. Find the A.P.
 
24. If the sum of the first 14 terms of an A.P is 1050 and its first term is 10, find the 20th term.
 
25. Find the three terms of an A.P. whose sum is 15 and their product is 105.
 
26. If fifth term of an A.P. is zero, show that its 33rd term is four times its 12th term.
 
27. How many terms of the AP 21, 18, 15, …..must be added to get the sum zero?
 
28. The 8th of an AP is equal to three  times its third term. If 6th term is 22, find the AP.
 
29. Determine the A.P. whose fourth term is 18 and the difference of the 9th term from the 15th term is 30.
 
30. The 9th term of an AP is 499 and 499th term is 9, find the term which is equal to zero.
 
SECTION D: 
 
31. In an AP, the first term is 2, the last term is 29 and the sum of all its terms is 155. Find the common difference of the AP.
 
32. The angles of a quadrilateral are in AP whose common difference is 10°. Find the angles.
 
33. The sum of first q terms of an AP is 63 – 3q2. If its pth term is –60, find the value of p. Also, find the 11th term of the AP.
 
34. The first and the last terms of an AP., are – 4 and 146 respectively and the sum of the AP is 7171. Find the number of terms in AP. And the common difference.
 
35. Find the sum of all two digit numbers, which leave 1 as remainder, when divided by 3.
 
36. How many terms of the AP 24, 21, 18, ….must be taken so that their sum is 78?
 
37. Find the 31st term of an AP whose 11th term is 38 and 16th term is 73.
 
38. Find the sum of first 24 terms of the list of numbers whose nth term is given by an = 3 + 2n.
 
39. If pth ,qth and rth terms of an AP are a , b and c respectively, then show that a(q – r) + b(r – p) + c(p – q) = 0.
 
40. A club consists of members whose ages are in AP., common difference being 3 months. The youngest member of the club is just 7 years old and the sum of the ages of members is 250 years. Find the number of members in the club.

 

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

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

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CBSE Class 10 Mathematics Chapter 5 Arithmetic Progression Worksheet

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