problem archive
-
Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73. -
An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term. -
If the 3rd and the 9th terms of an AP are 4 and -8 respectively, which term of this AP is zero? -
The 17th term of an AP exceeds its 10th term by 7. Find the common difference. -
Which term of the AP: 3, 15, 27, 39, ..., will be 132 more than its 54th term? -
Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms? -
How many three-digit numbers are divisible by 7? -
How many multiples of 4 lie between 10 and 250? -
For what value of n, are the nth terms of two APs: 63, 65, 67, ... and 3, 10, 17, ... equal? -
Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12. -
Find the 20th term from the last term of the AP: 3, 8, 13, ..., 253. -
The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP. -
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? -
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 the sum of the first n terms of an AP: a, a + d, a + 2d, ... -
The amount of money (in Rs) in the money box of Shakila's daughter on 1st, 2nd, 3rd, 4th birthday, ... were 100, 150, 200, 250, ... respectively. This... -
Find the sum of the first 22 terms of the AP: 8, 3, -2, ... -
If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term. -
How many terms of the AP: 24, 21, 18, ... must be taken so that their sum is 78? -
Find the sum of: (i) the first 1000 positive integers (ii) the first n positive integers