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5. Arithmetic Progressions Mathematics class 10 in English Medium ncert book solutions Exercise 5.1
5. Arithmetic Progressions Exercise 5.1 – 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 5.1 to help you master concepts and score higher.
5. Arithmetic Progressions Mathematics class 10 in English Medium ncert book solutions Exercise 5.1
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 5.1, 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 5.1. 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 5.1
Exercise 5.1
Q1. In which of the following situations, does the list of numbers involved make an arithmetic progression, and why?
(i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km.
(ii) The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time.
(iii) The cost of digging a well after every metre of digging, when it costs Rs 150 for the first metre and rises by Rs 50 for each subsequent metre.
(iv) The amount of money in the account every year, when Rs 10000 is deposited at compound interest at 8 % per annum.
Q2. Write first four terms of the AP, when the first term a and the common difference d are given as follows:
(i) a = 10, d = 10 (ii) a = –2, d = 0
(iii) a = 4, d = – 3 (iv) a = – 1, d = 1/2
(v) a = – 1.25, d = – 0.25
Q3. 3. For the following APs, write the first term and the common difference:
(i) 3, 1, – 1, – 3, . . . (ii) – 5, – 1, 3, 7, . . .
(iv) 0.6, 1.7, 2.8, 3.9, . . .
Q4. Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
See other sub-topics of this chapter:
1. Exercise 5.1 2. Exercise 5.2 3. Exercise 5.3 4. Exercise 5.4