Enter the values in the below input boxes to calculate the nth term and sum of arithmetic progression by using arithmetic sequence/series calculator.

Arithmetic sequence calculator is an online tool that calculates the sum of arithmetic sequence and nth term for the given values.

**What is an arithmetic sequence?**

Arithmetic sequence can be defined as,

**“**An arithmetic sequence is a sequence where each term increases by adding or subtracting some constant value known as common difference *(d)*.**”**

Arithmetic sequence is commonly known as arithmetic series and arithmetic progression as well.

Formula to find nth term is:

**n**^{th} term = a + (n - 1)d

Formula to find sum of arithmetic progression is:

**S = n/2 × [2a****₁**** + (n - 1)d]**

Where:

*a* refers to nᵗʰ term of the sequence,

*d* refers to common difference, and

*a₁* refers to first term of the sequence.

**Finding nth term and sum of arithmetic sequence**

*Example:*

Find nth term and sum of arithmetic sequence for *100* number of terms if first term is *5* and difference is *4.*

*Solution:*

**Step 1: **Identify the values.

*n = 100*

*a = 5*

*d = 4*

**Step 2: **Use arithmetic sequence formula and place the values.

*n*^{th} term = a + (n - 1)d

*= 5 + (100 - 1) × 4*

*= 5 + (100 - 1) × 4*

*n*^{th} term = 401

*S = n/2 × [2a**₁ + (n - 1)d]*

*S = 100/2 × [2(5) + (100 - 1) × 4]*

*S = 20,300*

Use the arithmetic calculator above to verify the value of nth term.