A geometric sequence has a first term of 5 and a common ratio of 3. What is the 6th term?

Fri, 08 May 2026 22:21:19 +0000

**Why Curious Minds Are Exploring A Geometric Sequence with First Term 5 and Ratio 3 — and What the 6th Term Reveals** In today’s data-driven world, patterns shape our perception of numbers, money, and growth—especially when they appear in unexpected places. One simple yet captivating sequence—starting with a first term of 5 and multiplying by a common ratio of 3—has quietly gained attention among learners, students, and professionals curious about how exponential growth unfolds. This isn’t just a math exercise; it’s a lens into understanding trends in technology, finance, data science, and even natural patterns. Why is this geometric sequence drawing attention right now? The exponential nature means rapid progression: small starting points compound quickly, mirroring real-world phenomena like compound interest, viral content spread, or population growth models. Especially amid growing interest in STEM education and data literacy in the US, sequences like this offer accessible entry points to deeper analytical thinking. So, what is the 6th term in this sequence? Start with 5, then multiply by 3 repeatedly: