The term of nth is calculated from the first term and common difference specified in the arithmetic progression.

Enter the nth term and the first term and common difference and click the button "Calculate arithmetic progression", Nth number and progression between the first term and 20th number is calculated.

It also shows how to calculate the nth term.

Please enter up to 15 digits for First term and Common difference, and up to 15 digits for nth term.

An arithmetic progression is a sequence in which the difference between adjacent terms is equal.

The first term in a sequence is called the initial term, and the difference between each adjacent term is called the common difference.

For example, the following sequence has a first term of 1 and a common difference of 2.

The common difference is 2, so the difference between all adjacent terms is 2.

In an arithmetic progression, the difference between adjacent terms is equal, so if the first term is a₁ and the common difference is d, it can be expressed as follows.

a₁, a₁ + d, a₁ + 2d, a₁ + 3d, a₁ + 4d...

So, the nth term is the first term plus the common difference (n-1) times.

If the nth term is a_n, it can be expressed as follows: