If a sequence starts with 2 and each subsequent term is 3 more than the previous term, what is the 15th term?

Mon, 04 May 2026 12:46:24 +0000

**Discover the Pattern: What’s the 15th Term in This Growing Sequence?**
Curious readers often stumble across sequences like this while exploring math in daily life—whether in finance, art, or product design. The sequence begins with 2, and each term grows by 3: 2, 5, 8, 11… A simple jump, yet powerful in its predictability. With just 13 more steps from the start, this straightforward logic offers clarity and a quiet form of satisfaction. Understanding how patterns like this unfold helps in recognizing trends afoot in markets, algorithms, and even lifestyle planning. For US users seeking patterns behind numbers, this question reflects a broader interest in logic, growth models, and practical applications. **Why This Sequence Is Gaining Attention Across the US**
In today’s fast-paced, data-driven world, sequences that define growth—no matter how basic—resonate deeply with curious minds. Platforms and search queries about mathematical progressions often spike during economic discussions, investment planning, or tech education. Users openly explore how small, consistent changes compound over time—whether in savings plans, skill development, or digital growth. This specific sequence—starting at 2 and adding 3 per step—maps intuitively onto real-world scenarios such as monthly budget increments or app user growth projections, fueling soft but steady curiosity. The simplicity makes it accessible, inviting deeper exploration without overload. **Understanding the Pattern: Calculating the 15th Term**
To find the 15th term, we start with the first term: 2. Each next term adds 3, so the difference between terms remains consistent. This defines a linear arithmetic sequence. The formula for the nth term is:
**Tₙ = first term + (n – 1) × common difference**
For this sequence:
Tₙ = 2 + (n – 1) × 3
Plugging in n = 15:
T₁₅ = 2 + (15 – 1) × 3 = 2 + 14 × 3 = 2 + 42 = 44 So, the 15th term is 44—a clean, predictable result born from structured growth. This straightforward math reveals how small, consistent additions expand