# Arithmetic Progression Class 10th Maths

We are sharing all about **Arithmetic Progression Class 10th Maths** along with the Ncert Solutions For Class 10th Arithmetic Progression to help the students with the tips to solve the questions related to **Arithmetic Progression Class 10th.**

## NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1

Ex 5.1 Class 10 Maths Question 1.

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 ₹ 15 for the first km and ₹ 8 for each additional km.

(ii) The amount of air present in a cylinder when a vacuum pump removes 14 of the air remaining in the cylinder at a time.

(iii) The cost of digging a well after every meter of digging when it costs ₹ 150 for the first meter and rises by ₹ 50 for each subsequent meter.

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

Solution:

Ex 5.1 Class 10 Maths Question 2.

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

(i) a = 10, d = 10

(ii) a = -2, d = 0

(iii) a = 4, d = -3

(iv) a = -1, d = 12

(v) a = -1.25, d = -0.25

Solution:

Ex 5.1 Class 10 Maths Question 3.

For the following APs, write the first term and the common difference:

(i) 3, 1, -1, -3, ……

(ii) -5, -1, 3, 7, ……

(iii) 13 , 53 , 93, 133 , ……..

(iv) 0.6, 1.7, 2.8, 3.9, …….

Solution:

Ex 5.1 Class 10 Maths Question 4.

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

(i) 2, 4, 8, 16, …….

(ii) 2, 52 , 3, 72 , …….

(iii) -1.2, -3.2, -5.2, -7.2, ……

(iv) -10, -6, -2,2, …..

(v) 3, 3 + 2–√, 3 + 22–√, 3 + 32–√, …..

(vi) 0.2, 0.22, 0.222, 0.2222, ……

(vii) 0, -4, -8, -12, …..

(viii) −12 , −12 , −12 , −12 , …….

(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, ……

Solution:

**Conclusion**

We have shared all about **Arithmetic Progression Class 10th Maths** along with the** Ncert Solutions For Class 10th Arithmetic Progression** to help the students with the tips to solve the questions related to** Arithmetic Progression Class 10th.** Go through the above article to get the chapter on Arithmetic Progression at your fingertips and solve maximum Questions during board examination as it is an important chapter of class 10th maths Ncert.

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