A geometric sequence starts with 2, and each term is 1.5 times the previous term. What is the sum of the first 5 terms?

Thu, 30 Apr 2026 06:02:05 +0000

**Unlocking Patterns in Numbers: The Geometric Sequence Starting with 2, Growing 1.5x Each Step** Curiosity about patterns in numbers is more alive than ever. In a world shaped by data-driven decisions, from personal finance to emerging tech trends, understanding mathematical sequences offers a tangible way to grasp growth, compounding, and structured progression. One such sequence quietly gaining attention is the geometric sequence beginning with 2, where each term multiplies by 1.5. This simple relationship models real-world growth—like investment returns or population shifts—making it relevant for anyone exploring long-term trends. So, what is the sum of the first five terms in this sequence, and why does it matter? **Why This Geometric Sequence Is Resonating Now** Right now, conversations around compound growth are trending across financial planning, education, and digital learning platforms. This particular sequence—starting at 2 and multiplying by 1.5—mirrors how small consistent inputs can lead to meaningful gains over time. Whether tracking ROI, modeling growth, or teaching foundational math, its predictable rhythm offers clarity. In mobile-first environments, users browsering for insights on personal finance or career trends often encounter recurring number patterns like this—making it a natural fit for Discover search intent.