In the previous post, we learnt What are arithmetic progressions? In this post, we will learn about nth term of arithmetic progressions. For example, we are given an arithmetic sequence 2, 4, 6, 8, 10 .... Can you find me the value of 54th term? It is very easy to do so with the help of formula which we will be deriving in this post.

In arithmetic sequences, we have first term equal to .

Second term where d is the common difference.

Third term

4th term

Similarly, nth term

For sequence 2, 4, 6, 8, 10 ....

d = 4 - 2 = 2

Can you find 27th term of arithmetic sequence 4, 2, 0, -2, -4, -6....

In this sequence, we have first term , d = 2-4=-2

Applying formula , we get

Watch video to have better understanding

**Practice questions**

- Find the value of 68th term in arithmetic sequence -3, -6, -9, -12 ....
- Find the value of 102nd term in arithmetic sequence .....

Answer 1: -204

Answer 2: