Toppers Study Toppers Study Toppers StudyDetailed NCERT Solutions for 10 Mathematics 5. Arithmetic Progressions to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 10 Mathematics 5. Arithmetic Progressions to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Exercise 5.3. Whether you are studying for board exams or mid-term exams, 10 Mathematics Chapter 5. Arithmetic Progressions solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
ncert_solutionsExercise 5.3
Q1. Find the sum of the following APs:
(i) 2, 7, 12, . . ., to 10 terms.
(ii) –37, –33, –29, . . ., to 12 terms.
(iii) 0.6, 1.7, 2.8, . . ., to 100 terms.
Q2. Find the sums given below :
(ii) 34 + 32 + 30 + . . . + 10
(iii) –5 + (–8) + (–11) + . . . + (–230)
Q3. In an AP:
(i) given a = 5, d = 3, an = 50, find n and Sn.
(ii) given a = 7, a13 = 35, find d and S13.
(iii) given a12 = 37, d = 3, find a and S12.
(iv) given a3 = 15, S10 = 125, find d and a10.
(v) given d = 5, S9 = 75, find a and a9.
(vi) given a = 2, d = 8, Sn = 90, find n and an.
(vii) given a = 8, an = 62, Sn = 210, find n and d.
(viii) given an = 4, d = 2, Sn = –14, find n and a.
(ix) given a = 3, n = 8, S = 192, find d.
(x) given l = 28, S = 144, and there are total 9 terms. Find a.
Q4. How many terms of the AP : 9, 17, 25, . . . must be taken to give a sum of 636?
Q5. 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.
Q6. The first and the last terms of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?
Q7. Find the sum of first 22 terms of an AP in which d = 7 and 22nd term is 149.
Q8. Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.
Q9. 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.
Exercise 5.3 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 10 Mathematics Chapter 5. Arithmetic Progressions solutions help you understand the core concepts and practice effectively.
Revision is the key to exam success. Our notes for 10 Mathematics highlight important formulas, key definitions, and exam-ready points from Chapter 5. Arithmetic Progressions. These quick revision notes make last-minute preparation easy.
Every NCERT chapter ends with exercises, and solving them is crucial. Our Exercise 5.3 include complete solutions for 10 Mathematics Chapter 5. Arithmetic Progressions exercises. With step-by-step answers, you gain clarity and confidence to attempt similar exam questions.
To boost your preparation, we also provide additional important questions with answers. These are prepared from previous year board papers, sample papers, and important concepts of Chapter 5. Arithmetic Progressions. Practicing these ensures you are well-prepared for both board and mid-term exams.
Our Exercise 5.3 are useful for both board exams and mid-term exams. For 10 Mathematics, we provide notes, exercises, and important Q&A so that you can revise smartly and write perfect answers in exams.
In short, Exercise 5.3 for 10 Mathematics Chapter 5. Arithmetic Progressions are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
Go to other Class
Download worksheets and assignments for better practice and revision.