Question 1 :
For what value of n, are the nth terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?

Question 2 :
The first and the last terms of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there in the AP?

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

Question 4 :
In a school, students thought of planting trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be the same as the class, in which they are studying, e.g., a section of Class I will plant 1 tree, a section of Class II will plant 2 trees and so on till Class XII. There are three sections of each class. How many trees will be planted by the students?

Question 5 :
Find the sum of the first 15 terms in $a_n = 9 – 5n$

Question 6 :
Find the sum of the following AP: 34 + 32 + 30 + . . . + 10

Question 7 :
How many terms of the AP : 9, 17, 25, . . . must be taken to give a sum of 636?

Question 8 :
Does $a_1, a_2, . . ., a_n, . . $ form an AP where $a_n = 3 + 4n$?

Question 9 :
Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

Question 10 :
A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs 200 for the first day, Rs 250 for the second day, Rs 300 for the third day, etc., the penalty for each succeeding day being Rs 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?

Question 11 :
Find the sum of the following AP: –5 + (–8) + (–11) + . . . + (–230)

Question 12 :
Find the sum of the first 40 positive integers divisible by 6.

Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bc4273b230584979a10.JPG' /> In the above fig, find the missing value corresponding to (i)

Question 14 :
Which term of the AP : 121, 117, 113, . . ., is its first negative term?

Question 15 :
Find the number of terms in the following AP :18, 15.5, 13, . . . , – 47