Arithmetic Progressions Mock Tests

The nth term of an arithmetic progression is given by aₙ = 3 − 4n. What is the common difference of the AP?

The sum of the first n terms of an AP is given by Sₙ = 3n + 2n². The common difference of the AP is:

If the 10th term of an AP is 25 and its common difference is 3, what is the first term of the AP?

The 21st term of an AP whose first term is 5 and common difference is 3 is:

How many terms of the AP 9, 17, 25, 33, ... must be taken so that the sum is 636? Find the last term.

The sum of the first 15 terms of the AP: 2, 5, 8, 11, ... is:

For what value of k will the kth term of the AP: 3, 8, 13, 18, ... be 78?

If the sum of the first 7 terms of an AP is 49 and the sum of the first 17 terms is 289, find the nth term of the AP.