Which of the following numbers will replace the question mark (?) in the given series? 4, 9, 19, 39, 79, ?
The given series is 4, 9, 19, 39, 79, ?
Let's analyze the differences between consecutive numbers in the series:
- 9 - 4 = 5
- 19 - 9 = 10
- 39 - 19 = 20
- 79 - 39 = 40
The differences form a new series: 5, 10, 20, 40. Notice that each term in this series is double the previous term. Following this pattern, the next difference should be 40 * 2 = 80.
Therefore, the next number in the original series is 79 + 80 = 159.
Thus, the correct answer is 159. The pattern lies in the consistent doubling of the difference between consecutive numbers in the original sequence. This type of pattern recognition is crucial in solving number series problems. Understanding the underlying mathematical relationships is key to successfully solving such problems. The series shows a progression where the difference between consecutive terms grows exponentially, revealing a clear, consistent mathematical rule which allows for the accurate prediction of future terms.
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