NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions — Exercise 5.2

Question 1:Fill in the blanks in the following table, given that a is the first term, d the common difference and a n the nth term of the AP:

NCERT class 10 maths chapter 5 Arithmetic Progressions

Question 2: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 (ii) 11th term of the AP: – 3, 1 2 − , 2, . . ., is (A) 28 (B) 22 (C) –38 (D) – 48 1 2

Question 3:In the following APs, find the missing terms in the boxes : (i) 2, , 26 (ii) , 13, , 3 (iii) 5, , , 1 9 2 (iv) – 4, , , , , 6 (v) , 38, , , , – 22

Exercise 5.2 maths class 10 Chapter 5 Arithmetic Progressions

Question 4:Which term of the AP : 3, 8, 13, 18, . . . ,is 78?

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Question 5:Find the number of terms in each of the following APs : (i) 7, 13, 19, . . . , 205 (ii) 18, 1 15 2 , 13, . . . , – 47

Question 6:Check whether – 150 is a term of the AP : 11, 8, 5, 2 . . .

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Question 7:Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

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Question 8:An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.

Question 9:If the 3rd and the 9th terms of an AP are 4 and – 8 respectively, which term of this AP is zero?

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Question 10:The 17th term of an AP exceeds its 10th term by 7. Find the common difference.

Question 11:Which term of the AP : 3, 15, 27, 39, . . . will be 132 more than its 54th term?

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Question 12:Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?

Question 13:How many three-digit numbers are divisible by 7?

1. Fill in the blanks in the following table, give

Question 14:How many multiples of 4 lie between 10 and 250?

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Question 15:For what value of n, are the nth terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?

Question 16:Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.

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Question 17:Find the 20th term from the last term of the AP : 3, 8, 13, . . ., 253.

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Question 18:The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is

Question 44:Find the first three terms of the AP.

Question 19:Subba Rao started work in 1995 at an annual salary of ` 5000 and received an increment of ` 200 each year. In which year did his income reach ` 7000?

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Question 20:Ramkali saved ` 5 in the first week of a year and then increased her weekly savings by ` 1.75. If in the nth week, her weekly savings become ` 20.75, find n.