A sequence starts with 1, and each subsequent term is 3 times the previous term plus 2. What is the 5th term in the sequence?

Mon, 04 May 2026 05:53:04 +0000

**A sequence starts with 1, and each subsequent term is 3 times the previous term plus 2. What is the 5th term in the sequence?** In a digital landscape where curiosity about math patterns drives engagement, a growing number of users are exploring sequences built on exponential logic—where each number unfolds with precise mathematical rhythm. This specific sequence starts with 1, and each next term follows a clear rule: multiply the previous by 3, then add 2. Beyond the numbers, what makes this pattern relevant today? It reflects a broader fascination with logic, prediction, and hidden order—qualities that resonate deeply in fields like coding, data analysis, and algorithmic design. As users seek structured ways to understand complex systems, sequences of this kind illustrate how small, repeated operations build predictable outcomes. The sequence’s structure produces terms rooted in exponential growth—each step amplifying the prior by threefold expansion. Starting with 1, the pattern unfolds visibly in successive calculations:
1 → (3×1 + 2) = 5
5 → (3×5 + 2) = 17
17 → (3×17 + 2) = 53
53 → (3×53 + 2) = 161
161 → (3×161 + 2) = 485 Thus, the 5th term is 485—a number that emerges not by guesswork, but through a logical chain.