Can you solve this tricky series? What number comes next in the series: 5, 11, 23, 47, 95, …?

 Can you solve this tricky series? What number comes next in the series: 5, 11, 23, 47, 95, …?👇💝

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Fulll Math solution 👇👇👇👇

To solve the series: 5, 11, 23, 47, 95, ..., let's examine the pattern and differences between the numbers.

1. Calculate the differences between consecutive terms:

   • $11-5=6$
   • $23-11=12$
   • $47-23=24$
   • $95-47=48$

2. Observe the differences: 6, 12, 24, 48. The differences themselves form a series.

3. Calculate the differences between these differences:

   • $12-6=6$
   • $24-12=12$
   • $48-24=24$

4. The second-order differences are 6, 12, 24, which follow the same pattern as the first-order differences.

Given the pattern, each term in the series of differences appears to be doubling the previous term:

• The next difference in the first-order differences series should be $48\times 2=96$.

5. Add this difference to the last term in the original series to find the next term:
   • $95+96=191$

Therefore, the next number in the series is $\boxed{{\displaystyle 191}}$.