Solution: This is an arithmetic sequence with first term $a_1 = 3$, common difference $d = 4$, and last term $a_n = 47$.

Sat, 18 Apr 2026 18:52:34 +0000

**Discover Hidden Patterns: The Math Behind the Arithmetic Sequence You’re Seeing** Ever stumbled across a sequence like 3, 7, 11, 15—then spotted the pattern: starting at 3, adding 4 each time, ending at 47? It’s not random—it’s an arithmetic sequence. This simple math concept is woven into data trends, personal finance tools, and even product pricing. In the U.S., curiosity about structured patterns is rising, especially in budgeting, investing, and educational apps. Understanding how these sequences work offers clearer insight into real-life data—not just numbers, but meaning. ### Why This Sequence Is Building Interest Across the U.S. In a landscape shaped by economic variables and digital complexity, people are increasingly drawn to logical frameworks that simplify complexity. The arithmetic sequence offers exactly that: predictable growth, clear increments, a foundation for forecasting trends. From personal finance planners modeling savings timelines to educators teaching foundational math, this sequence appears in diverse contexts—real, relatable, and increasingly visible in mobile learning platforms and budgeting apps.