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5. Arithmetic Progressions Mathematics class 10 in English Medium ncert book solutions Exercise 5.2
5. Arithmetic Progressions Exercise 5.2 – 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 5.2 to help you master concepts and score higher.
5. Arithmetic Progressions Mathematics class 10 in English Medium ncert book solutions Exercise 5.2
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 5.2, 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 5.2. 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 5.2
Exercise 5.2
Q1. Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP:
Q2. Choose the correct choice in the following and justify :
(i) 30th term of the AP: 10, 7, 4, . . . , is
(A) 97 (B) 77 (C) –77 (D) – 87
Q3. In the following APs, find the missing terms in the boxes :
Q4. Which term of the AP : 3, 8, 13, 18, . . . ,is 78?
Q5. Find the number of terms in each of the following APs :
(i) 7, 13, 19, . . . , 205
Q6. Check whether – 150 is a term of the AP : 11, 8, 5, 2 . . .
Q7. Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.
Q8. An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.
Q9. If the 3rd and the 9th terms of an AP are 4 and – 8 respectively, which term of this AP is zero?
Q10. The 17th term of an AP exceeds its 10th term by 7. Find the common difference.
Q11. Which term of the AP : 3, 15, 27, 39, . . . will be 132 more than its 54th term?
Q12. Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?
Q13. How many three-digit numbers are divisible by 7?
Q14. How many multiples of 4 lie between 10 and 250?
Q15. For what value of n, are the nth terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?
Q16. Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.
Q17. Find the 20th term from the last term of the AP : 3, 8, 13, . . ., 253.
Q18. The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.
Q19. Subba Rao started work in 1995 at an annual salary of Rs 5000 and received an increment of Rs 200 each year. In which year did his income reach Rs 7000?
Q20. Ramkali saved Rs 5 in the first week of a year and then increased her weekly savings by Rs 1.75. If in the nth week, her weekly savings become Rs 20.75, find n.
See other sub-topics of this chapter:
1. Exercise 5.1 2. Exercise 5.2 3. Exercise 5.3 4. Exercise 5.4