A geometric sequence has a first term of 2 and a common ratio of 3. What is the sum of the first 5 terms?

Fri, 17 Apr 2026 01:04:39 +0000

**Curious Math—So Relevant on Discover**
Why is a simple geometric sequence? A geometric sequence with a first term of 2 and a common ratio of 3—showing growth like 2, 6, 18, 54, 162—now quietly sparking interest in math circles, personal finance blogs, and educational forums across the US. People are drawn to its clear patterns and applicability in real-world scenarios, from investment compounding to population growth models. This sequence isn’t just abstract—it’s a foundational concept enabling intuitive understanding of exponential change, a skill increasingly valuable in data-driven decision-making. --- **Recent Questions Signal Growing Interest**
In recent months, curiosity around geometric progressions has climbed, driven by rising engagement in STEM education, personal finance discussions, and algorithm-based learning tools. Parents, students, and professionals alike seek clear, reliable explanations—especially about cumulative sums. Platforms note patterns like “first term 2, ratio 3, first 5 terms” emerging naturally in search queries tied to foundational math, financial literacy, and problem-solving strategies, highlighting a broader trend toward grasping structured numerical relationships. ---