A sequence is defined such that each term after the first is obtained by multiplying the previous term by 3 and then subtracting 2. If the first term is 5, what is the fifth term in the sequence?

Fri, 17 Apr 2026 01:04:39 +0000

**Why a sequence built by multiplying by 3 and subtracting 2 is quietly gaining attention across the U.S.**
In a digital landscape flooded with complex formulas and fast-moving trends, a simple repeating mathematical pattern has quietly caught the eye of curious learners and problem-solvers. The sequence defined by the rule—each term multiplied by 3, then reduced by 2—captivates attention through its elegant rhythm. Known formally as:
A sequence is defined such that each term after the first is obtained by multiplying the previous term by 3 and then subtracting 2. If the first term is 5, what comes next? Understanding this pattern reveals more than just numbers—it reflects how the mind recognizes patterns in data, finance, and emerging tech. This kind of sequence is becoming a subtle lens through which people explore logic, predictability, and growth principles in everyday life. **Why this sequence is gaining quiet momentum in the U.S.**
Interest in structured patterns has grown alongside greater public engagement with data literacy, financial modeling, and algorithmic thinking. Whether used in personal budgeting, game theory, or machine learning, sequences like this offer a foundational skill: recognizing how small repeated changes compound over time. The specificity of multiplying by 3 and subtracting 2 creates a reliable, predictable rhythm that appeals to those seeking clarity in data-heavy environments. In an era where automation and predictive analytics shape business and personal decisions, this clean formula promises accessible insight without complexity—resonating particularly with mobile-first users navigating fast-moving information. **How to calculate the fifth term from 5 following the defined rule**
Breaking the sequence step by step reveals how simple arithmetic builds predictable progression. Starting with the first term:
- First term: 5
- Second: (5 × 3) − 2 = 15 − 2 = 13
- Third: (13 × 3) − 2 = 39 − 2 = 37
- Fourth: (37 × 3) − 2 = 111 − 2 = 109
- Fifth: (109 × 3) − 2 = 327 − 2 = 325 Each phase demonstrates how multiplication amplifies growth, while subtraction maintains a foundational correction—balancing expansion with stability. This clarity in progression makes the sequence both teachable and memorable, offering users confidence in handling similar models.