Find the first term a1 and the common difference d of the arithmetic progression in which a2+a5−a3=10, a2+a9=17
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Find the value of p for which the numbers 2p−1,3p+1,11 are in AP. Hence, find the numbers.
Which term of the A.P. 3,15,27, 39, ... will be 120 more than its 21st term?
For an A.P., the seventh term is 19 and the thirteenth term is 37. Find its twenty second term.
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?
Find the 12th term from the end of the AP: 2, 4, 6,..., 100.
If the nth term of a progression is (4n−10) show that it is an AP. Find its 16th term.
Find the sum of the first 40 positive integers divisible by 6.
How many terms are there in the A.P., $$7, 13, 19, ...205$$ ?