NCERT Solutions for Class 10 सामाजिक विज्ञान Chapter 5 Arithmetic Progressions

Arithmetic Progressions Here is the CBSE सामाजिक विज्ञान Chapter 5 for Class 10 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 10 सामाजिक विज्ञान Arithmetic Progressions Chapter 5 NCERT Solutions for Class 10 सामाजिक विज्ञान Arithmetic Progressions Chapter 5 The following is a summary in Hindi and English for the academic year 2025-26. You can save these solutions to your computer or use the Class 10 सामाजिक विज्ञान.

Question 1

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

The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

Solution

Taxi fare for 1 km = Rs. 15 = a₁Taxi fare for 2 kms
= Rs. 15 + Rs. 8 = Rs. 23 = a₂Taxi fare for 3 kms
= 23 + Rs. 8 = Rs. 31 = a₃Taxi fare for 4 kms
= Rs. 31 + Rs. 8 = Rs. 39 = a₄and so on.
a₂– a₁ = Rs. 23 – Rs. 15 = Rs. 8
a₃ – a₂ = Rs. 31 – Rs. 23 = Rs. 8
a₄ – a₃ = Rs. 39 – Rs. 31 = Rs. 8
i.e., a_{k + 1} – a_k is the same every time.

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NCERT Solutions for Class 10 सामाजिक विज्ञान Chapter 5 Arithmetic Progressions

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

The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The amount of air present in a cylinder when a vacuum pump removes $1 fourth$ of the air remaining in the cylinder at a time.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The amount of money in the account every year, when ` 10000 is deposited at compound interest at 8 % per annum.

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a – 10, d = 10

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = –2, d = 0

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = 4, d = – 3

Write first four terms of the AP, when the first term a and the common difference d are given as follows:

a = – 1, d = $1 half$

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For Daily Free Study Material Join wiredfaculty

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NCERT Solutions for Class 10 सामाजिक विज्ञान Chapter 5 Arithmetic Progressions

In which of the following situations, does the list of numbers involved make an arithmetic progression, and why?The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?The amount of air present in a cylinder when a vacuum pump removes of the air remaining in the cylinder at a time.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?The amount of money in the account every year, when ` 10000 is deposited at compound interest at 8 % per annum.

Write first four terms of the AP, when the first term a and the common difference d are given as follows:a – 10, d = 10

Write first four terms of the AP, when the first term a and the common difference d are given as follows:a = –2, d = 0

Write first four terms of the AP, when the first term a and the common difference d are given as follows:a = 4, d = – 3

Write first four terms of the AP, when the first term a and the common difference d are given as follows:a = – 1, d =

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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

The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The amount of air present in a cylinder when a vacuum pump removes $1 fourth$ of the air remaining in the cylinder at a time.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.

In which of the following situational, does the list of numbers involved make an arithmetic progression, and why?

The amount of money in the account every year, when ` 10000 is deposited at compound interest at 8 % per annum.

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a – 10, d = 10

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = –2, d = 0

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = 4, d = – 3

Write first four terms of the AP, when the first term a and the common difference d are given as follows:

a = – 1, d = $1 half$