Solution: The sequence is arithmetic with first term $ a = 3 $, common difference $ d = 4 $, and last term $ l = 99 $. The formula for the $ n $-th term of an arithmetic sequence is:

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**Discover Hidden Patterns with Arithmetic Sequences – Why This Sequence Matters in Everyday Life** Ever notice how some numbers, when lined up in a pattern, reveal surprising order? Nothing more subtle than the rhythm of an arithmetic sequence—where each term builds steadily on the last. Today, we examine one real-world example: a sequence starting at $ a = 3 $, increasing by a common difference of $ d = 4 $, ending with $ l = 99 $. Understanding this structure isn’t just academic—it appears more often than you might think, from financial planning to product development, and even in emerging digital trends. **Why This Arithmetic Sequence Is Gaining Attention in the US** In an age defined by data-driven decisions and algorithmic trust, patterns like arithmetic sequences offer clarity amid complexity. Their predictable yet noticeable progression mirrors natural growth and escalation across industries. Whether tracking savings milestones, scaling production batches, or analyzing user engagement metrics, this simple model provides a reliable framework. With rising interest in personal finance, educational tools, and smart technology, identifying such sequences helps users anticipate outcomes, optimize timelines, and make informed choices—all without overwhelming technical jargon or complexity.