Exercise 5.1 class 10 maths | Arithmetic Progression (AP) NCERT Solutions | concepts of AP

Exercise 5.1 class 10 maths | Arithmetic Progression (AP) NCERT Solutions | concepts of AP
#Class10Maths #Exercise5_1 #ArithmeticProgression #NCERTSolutions #Class10BoardExam #MathsChapter5 #APClass10 #NCERTClass10Maths

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Class 10 Maths Exercise 5.1 Arithmetic Progression (AP) | NCERT Solutions | Step by Step Explanation in Hindi & English.
In this video, we cover all questions of Exercise 5.1 Class 10 Maths NCERT Book Chapter 5 (AP - Arithmetic Progressions) with detailed explanation.
Perfect for CBSE 2025 Board Exams Preparation.

👉 Topics Covered in this Video:
✔️ Class 10 Maths Exercise 5.1 Solutions
✔️ Arithmetic Progression Class 10 Explanation
✔️ NCERT Solutions for Class 10 Maths Chapter 5
✔️ AP Class 10 Questions and Answers
✔️ Board Exam Preparation Class 10 Maths
Here are the NCERT Solutions for Class 10 Maths Chapter 5 (Arithmetic Progressions) – Exercise 5.1:


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Q1. In which of the following situations does the list of numbers involved make an arithmetic progression and why?

(i) Taxi fare after each km: First km = Rs 15, each additional km = Rs 8.

Fare = 15, 23, 31, 39, …

This is an AP with common difference 8.


(ii) Amount of air in a cylinder when 1/4th is removed each time.

Sequence: 1, 3/4, 9/16, …

This is a GP, not an AP.


(iii) Total cost of books: Rs 40 each, plus Rs 2 handling per book.

Cost = 42, 84, 126, …

This is an AP with common difference 42.


(iv) Savings doubling every month: Rs 1000, Rs 2000, Rs 4000, …

This is a GP, not an AP.



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Q2. Write first four terms of AP when the first term and common difference are:

(i) → 10, 20, 30, 40

(ii) → 10, 0, -10, -20

(iii) → -2, -2, -2, -2

(iv) → 4, 1, -2, -5

(v) → -1, -½, 0, ½



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Q3. In the following APs, find the 10th term:

(i) 2, 7, 12, 17 …



(ii) -37, -33, -29 …



(iii) 0.6, 1.7, 2.8 …





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Q4. Which of the following are APs? If they form an AP, find the common difference and three more terms:

(i) 2, 4, 8, 16 … → Not an AP (it’s GP).

(ii) 2, 5/2, 3, 7/2 …

Common difference .

AP. Next three terms: 4, 9/2, 5.


(iii) -1.2, -3.2, -5.2 …

Common difference .

AP. Next terms: -7.2, -9.2, -11.2.


(iv) a, 2a, 3a …

Common difference .

AP. Next terms: 4a, 5a, 6a.


(v) 1, 2, 4, 8 … → Not an AP