An arithmetic sequence (also called an arithmetic progression) is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is called the "common difference" and is denoted by 'd'. For example, in the sequence 2, 5, 8, 11, 14, each term is obtained by adding 3 to the previous term, so d = 3.

Arithmetic sequences appear frequently in real-world situations, such as calculating monthly savings with fixed deposits, counting seats in a theater where each row has more seats than the previous one, or determining the total distance traveled when speed increases at a constant rate.

To use this calculator, enter the first term of your sequence, the common difference (which can be positive, negative, or a decimal), and the term number you want to find. The calculator will compute the n-th term using the formula aₙ = a₁ + (n − 1) × d, and the sum of the first n terms using Sₙ = n/2 × (2a₁ + (n − 1)d).

Toggle the options to show step-by-step calculations and the sequence list. You can copy the results in plain text or LaTeX format for use in documents, homework, or presentations.