What is the next number in this sequence: 1, 2, 4, __?

 In this sequence, the pattern is based on doubling each preceding number. It starts with 1, then doubles to 2, and subsequently doubles to 4. Following this pattern, the next number in the sequence is obtained by doubling 4, resulting in the value 8. The sequence appears to follow a straightforward geometric progression where each term is twice the value of the preceding term.


This type of numerical sequence, known as a geometric sequence, is characterized by a common ratio between consecutive terms. In this case, the common ratio is 2, as each term is obtained by multiplying the previous term by 2. Geometric sequences are a fundamental concept in mathematics and find applications in various fields, including finance, physics, and computer science.


Understanding and identifying patterns in sequences contribute to problem-solving skills and mathematical reasoning. It allows for the prediction of future terms and generalizes the behavior of the sequence, providing a foundation for more complex mathematical analyses.

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