The sum of the arithmetic sequence formula says S_n = n/2 (a_1 + a_n) (or) S_n = n/2 (2a + (n - 1) d), where a_1 (or) a is the first term and d is the common difference of the arithmetic series.

More specifically, the sum of the first n n terms in an arithmetic sequence is called the partial sum. The partial sum is denoted by the symbol S n S n. Below is the general form of the arithmetic series …

In other words, a series is a sum ! We can add up these terms. a + (a+d) + (a+2d) + (a+3d) + ... We can find the sum using this Sigma formula: This symbol is called Sigma. It simply means "add up". Σ …

Jul 23, 2025 · We can calculate the sum of all terms in an arithmetic sequence using the sum of the arithmetic sequence formula. When an arithmetic sequence is expressed as the sum of its terms, …

Sep 1, 2025 · The sum of n terms is Sₙ = n/2 × (first + last). Table of Contents. What Is an Arithmetic Sequence? 1) What Is an Arithmetic Sequence? An arithmetic sequence is a sequence of numbers …

Jan 11, 2024 · To calculate the sum of an arithmetic sequence, a few simple steps must be followed. These steps use a basic formula that makes finding the sum pretty straightforward. The sequence …

Dec 10, 2025 · To find the sum of an arithmetic sequence, start by identifying the first and last number in the sequence. Then, add those numbers together and divide the sum by 2.