Скачать или смотреть NCERT Class 10 Maths – Chapter 5: Arithmetic Progressions | Exercise 5.1 Solutions

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Class 10 Math | Real Numbers Explained | Number System | NCERT & Concept Building, EXE 1.2
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NCERT Class 10 Maths – Chapter 5: Arithmetic Progressions | Exercise 5.1 Solutions
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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 A.P. when the first term a and the common difference 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. For the following A.P.s, write the first term and the common difference. (i) 3, 1, – 1, – 3 … (ii) -5, – 1, 3, 7 … (iii) 1/3, 5/3, 9/3, 13/3 …. (iv) 0.6, 1.7, 2.8, 3.9 …

Q4. Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. (i) 2, 4, 8, 16 … (ii) 2, 5/2, 3, 7/2 …. (iii) -1.2, -3.2, -5.2, -7.2 … (iv) -10, – 6, – 2, 2 … (v) 3, 3 + √2, 3 + 2√2, 3 + 3√2 (vi) 0.2, 0.22, 0.222, 0.2222 …. (vii) 0, – 4, – 8, – 12 … (viii) -1/2, -1/2, -1/2, -1/2 …. (ix) 1, 3, 9, 27 … (x) a, 2a, 3a, 4a … (xi) a, a2, a3, a4 … (xii) √2, √8, √18, √32 … (xiii) √3, √6, √9, √12 … (xiv) 12, 32, 52, 72 … (xv) 12, 52, 72, 73 …

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📝 Description:

Dive into Exercise 5.1 of Chapter 5: Arithmetic Progressions (AP) from the NCERT Class 10 Mathematics textbook. This exercise introduces the concept of arithmetic progression, focusing on identifying the first term, common difference, and general form of an AP. These step-by-step solutions are crafted to help students grasp the basics clearly and prepare effectively for board exams.

✅ Topics Covered:

Definition of Arithmetic Progression

Identifying the first term and common difference

Recognizing APs from number patterns

Perfect for CBSE students looking to strengthen their foundation in sequences and series!

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