Sum = (n/2)(2a + (n–1)d)

Wed, 06 May 2026 03:35:50 +0000

# Understanding the Sum of an Arithmetic Series: The Formula Sum = (n/2)(2a + (n–1)d) When studying mathematics, especially in algebra and sequence analysis, one of the essential formulas is the sum of an arithmetic series. Whether you're solving problems in school or diving into data science and finance applications, mastering this formula gives you a powerful tool. In this article, we’ll explore the meaning, derivation, and practical applications of the sum of an arithmetic series defined by the formula: ### What is the Sum of an Arithmetic Series? An arithmetic series is the sum of the terms in an arithmetic sequence — a sequence where each term increases by a constant difference. The general rule is: