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5. Arithmetic Progressions Mathematics class 10 in English Medium ncert book solutions Exercise 5.3
5. Arithmetic Progressions Exercise 5.3 – Complete NCERT Book Solutions for Class 10 Mathematics (English Medium). Get all chapter explanations, extra questions, solved examples and additional practice questions for 5. Arithmetic Progressions Exercise 5.3 to help you master concepts and score higher.
5. Arithmetic Progressions Mathematics class 10 in English Medium ncert book solutions Exercise 5.3
NCERT Solutions for Class 10 Mathematics play an important role in helping students understand the concepts of the chapter 5. Arithmetic Progressions clearly. This chapter includes the topic Exercise 5.3, which is essential from both academic and examination point of view. The solutions provided here are prepared strictly according to the latest NCERT syllabus and follow the guidelines of CBSE to ensure accuracy and relevance. Each question is explained in a simple and student-friendly manner so that learners can grasp the concepts without confusion. These NCERT Solutions are useful for regular study, homework help, and exam preparation. All textbook questions are solved step by step to improve problem-solving skills and conceptual clarity. Students of Class 10 studying Mathematics can use these solutions to revise important topics, understand difficult questions, and practise effectively before examinations. The chapter 5. Arithmetic Progressions is explained in a structured way, making it easier for students to connect the theory with the topic Exercise 5.3. By studying these updated NCERT Solutions for Class 10 Mathematics, students can build a strong foundation, boost their confidence, and score better marks in school and board exams.
5. Arithmetic Progressions
Exercise 5.3
Exercise 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.
See other sub-topics of this chapter:
1. Exercise 5.1 2. Exercise 5.2 3. Exercise 5.3 4. Exercise 5.4