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Question

What number will be present in place of the question mark?: \(5, 11, 23, 47, ?\)

This question was previously asked in
SSC Stenographer 2025 Question Paper (06-Aug-2025) Shift 2
The correct answer is
95

Understanding the Number Sequence Pattern

The question asks us to find the next number in the given sequence: 5, 11, 23, 47, ?.

To solve this, we need to identify the pattern or rule that generates the sequence.

Identifying the Pattern

Let's examine the relationship between consecutive terms:

  • From 5 to 11: The difference is \(11 - 5 = 6\).
  • From 11 to 23: The difference is \(23 - 11 = 12\).
  • From 23 to 47: The difference is \(47 - 23 = 24\).

We observe that the differences themselves are doubling: 6, 12, 24. This suggests a pattern involving multiplication.

Let's test a potential pattern where each number is obtained by multiplying the previous number by 2 and adding 1:

  • First term: 5
  • Second term: \((5 \times 2) + 1 = 10 + 1 = 11\). This matches the sequence.
  • Third term: \((11 \times 2) + 1 = 22 + 1 = 23\). This also matches the sequence.
  • Fourth term: \((23 \times 2) + 1 = 46 + 1 = 47\). This matches the sequence as well.

The pattern seems to be: \(Next Term = (Previous Term \times 2) + 1\).

Calculating the Missing Number

Using the identified pattern, we can calculate the next number in the sequence after 47:

  • Next Term = \((47 \times 2) + 1\)
  • Next Term = \(94 + 1\)
  • Next Term = \(95\)

Conclusion

The number that will be present in place of the question mark is 95.

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