Question 1 :
Find the sum of first 22 terms of an AP in which d = 7 and 22nd term is 149.

Question 2 :
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 3 :
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.

Question 4 :
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 5 :
The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find this value of x.

Question 6 :
Find the sum of the following AP: –37, –33, –29, . . ., to 12 terms.

Question 7 :
The first and the last terms of an AP are 17 and 350 respectively. If the common difference is 9, what is the sum of the AP?

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

Question 9 :
In an AP, given a = 5, d = 3, $a_n$= 50, find n and $S_n$.

Question 10 :
The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.