What Is the Rule of 3, 6, 12, 24, 48, 96? Understanding Geometric Progression

Learn the rule behind the sequence 3, 6, 12, 24, 48, 96 and how it illustrates geometric progression with a ratio of 2.

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The sequence 3, 6, 12, 24, 48, 96 follows a pattern where each number is multiplied by 2 to arrive at the next number. This is known as a geometric progression with a common ratio of 2. It is useful for understanding exponential growth or decay scenarios.

FAQs & Answers

  1. What is a geometric progression? A geometric progression is a sequence of numbers where each term is found by multiplying the previous term by a constant called the common ratio.
  2. How do you find the next number in the sequence 3, 6, 12, 24, 48, 96? To find the next number, multiply the last number by 2, since the sequence has a common ratio of 2.
  3. What real-life examples use a geometric progression like this sequence? Geometric progressions model scenarios such as population growth, interest compounding, and radioactive decay.

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