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 5.2. 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 5.2
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.
Exercise 5.2 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 5.2 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 5.2 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 5.2 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.
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