(nth Term of an arithmetic progression / AP)

*(Page 106, 107)*

**11: Which term of the AP (Arithmetic Progression): 3, 15, 27, 39, . . . . will be 132 more than its 54 ^{th} term ? **

**12: Two APs have the same common difference. The difference between their 100 ^{th} terms is 100, what is the difference between their 1000^{th} terms. **

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

**14: How many multiples of 4 lie between 10 & 250 ? **

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

**16: Determine the AP whose 3 ^{rd} term is 16 and 7^{th} term exceeds the 5^{th} term by 12. **

**17: Find the 20 ^{th} term from the last term of the AP: 3, 8, 13, . . . . , 253. **

**18: The sum of the 4 ^{th} and 8^{th} terms of an AP is 24 and the sum of 6^{th} and 10^{th} terms is 44. Find the first three terms of the AP. **

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

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

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** To see the solutions of Question No 1 - 10 of NCERT Mathematics Textbook Exercise 5.2 (Arithmetic Progression) click on**