Sum of first 10 terms: \( \frac{10}{2} \times (5 + 32) = 5 \times 37 = 185 \)

Sat, 02 May 2026 17:20:34 +0000

Understanding the Sum of the First 10 Terms Using the Arithmetic Series Formula Calculating the sum of a sequence is a fundamental concept in mathematics, especially when working with arithmetic series. One interesting example involves computing the sum of the first 10 terms of a specific series using a well-known formula — and it aligns perfectly with \\( \frac{10}{2} \\ imes (5 + 32) = 5 \\ imes 37 = 185 \\). In this article, we’ll explore how this formula works, why it’s effective, and how you can apply it to solve similar problems efficiently. --- ### What Is an Arithmetic Series?