Arithmetic Progressions Examples and Solutions

The sum of the first 7 terms of an AP is 49 and the sum of its first 17 term is 289. Find the sum of its first n terms.

The 16^th term of an AP is 5 times its 3^rd term. If its 10^th term is 41,  find the sum of its first 15 terms.

A man saved ₹33000 in 10 months. In each month after the first, he saved ₹100 more than he did in the preceding month. How much did he save in the first month?

Find the sum of all three-digits natural numbers which are divisible by 13.

Find the sum of first 100 even number which are divisible by 5.

Find the sum of the following.

`(1 - 1/n) +(1 -2/n) + (1- 3/n) +` ......up to n terms.

In an AP. It is given that `s_5 + s_7 = 167  and s_10 = 235 ," then find the AP, where " S_n` denotes the sum of its first n terms.

In an AP, the first term is 2, the last term is 29 and the sum of all the terms is 155. Find the common difference.