CBSE Class 10 Mathematics Arithmetic Progression Assignment Set 07

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1. The fourth term of an AP is 0. Prove that its 25th term is triple its 11th term.
Ans: a4= 0
→ a + 3d = 0
T.P a25= 3 (a11)
→ a + 24d = 3 (a + 10d)
→ a + 24d = 3a + 30d
RHS sub a = - 3d
- 3d + 24d = 21d
LHS 3a + 30d
- 9d + 30d = 21d
LHS = RHS
Hence proved
 
2. Find the 20th term from the end of the AP 3, 8, 13……..253.
Ans: 3, 8, 13 ………….. 253
Last term = 253
a20 from end
= l – (n-1)d
253 – ( 20-1) 5
253 – 95
= 158
 
3. If the pth, qth & rth term of an AP is x, y and z respectively, show that x(q-r) + y(r-p) + z(p-q) = 0
Ans: pth term ⇒ x = A + (p-1) D
qth term ⇒ y = A + (q-1) D
rth term ⇒ z = A + (r-1) D
T.P x(q-r) + y(r-p) + z(p-q) = 0
={A+(p-1)D}(q-r) + {A + (q-1)D} (r-p)
+ {A+(r-1)D} (p-q)
A {(q-r) + (r-p) + (p-q)} + D {(p-1)(q-r)
+ (r-1) (r-p) + (r-1) (p-q)}
⇒ A.0 + D{p(q-r) + q(r-p) + r (p-q)
- (q-r) – (r-p)-(p-q)}
= A.0 + D.0 = 0.
 
 
 
Please click the link below to download CBSE Class 10 Mathematics Arithmetic Progression Assignment Set G

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Download Practice Assignments: Class 10 Mathematics Chapter 05 Arithmetic Progressions

Class 10 Mathematics Chapter 05 Arithmetic Progressions Printable Assignments

Explore reliable practice questions for Chapter 05 Arithmetic Progressions tailored for Class 10 learners. Use these structured worksheets to evaluate preparedness and strengthen core problem-solving skills.

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  • Syllabus Compliance: Sets reflect current CBSE evaluation criteria and official marking frameworks.
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  • Time Management: Routine practice optimizes pacing to finish school examinations comfortably within schedule.

Effective Strategy for Class 10 Mathematics Assignments

  1. Textbook Review: Always study the core NCERT book for Class 10 Mathematics prior to beginning the assignment.
  2. Independent Attempt: Solve Chapter 05 Arithmetic Progressions questions on your own initially before cross-checking with expert solutions.
  3. Error Tracking: Record challenging concepts in a dedicated notebook and practice online MCQ tests for revision.

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Where can I download the latest CBSE Class 10 Mathematics Chapter 05 Arithmetic Progressions assignments?

You can download free PDF assignments for Class 10 Mathematics Chapter 05 Arithmetic Progressions from StudiesToday.com. These practice sheets have been updated for the 2026-27 session covering all concepts from latest NCERT textbook.

Do these Mathematics Chapter 05 Arithmetic Progressions assignments include solved questions?

Yes, our teachers have given solutions for all questions in the Class 10 Mathematics Chapter 05 Arithmetic Progressions assignments. This will help you to understand step-by-step methodology to get full marks in school tests and exams.

Are the assignments for Class 10 Mathematics Chapter 05 Arithmetic Progressions based on the 2026 exam pattern?

Yes. These assignments are designed as per the latest CBSE syllabus for 2026. We have included huge variety of question formats such as MCQs, Case-study based questions and important diagram-based problems found in Chapter 05 Arithmetic Progressions.

How can practicing Chapter 05 Arithmetic Progressions assignments help in Mathematics preparation?

Practicing topicw wise assignments will help Class 10 students understand every sub-topic of Chapter 05 Arithmetic Progressions. Daily practice will improve speed, accuracy and answering competency-based questions.

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