Question 147

What comes next in the following number series?

5, 11, 23, 47, 95, 191, 383, ___?

Let's analyze the pattern:

  • From 5 to 11, the difference is 6.
  • From 11 to 23, the difference is 12.
  • From 23 to 47, the difference is 24.
  • From 47 to 95, the difference is 48.
  • From 95 to 191, the difference is 96.
  • From 191 to 383, the difference is 192.

So, the differences between the consecutive numbers are doubling:

  • 6, 12, 24, 48, 96, 192 (each difference is multiplied by 2).

To continue the pattern, the next difference should be 384 (since 192 × 2 = 384).

Now, add 384 to the last number in the series (383):

383 + 384 = 767

Hence, the answer is 767

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