Number Series, Coding, Odd Man OutPYQ Sep 24Question 2038 of 217
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Find the next number in the series 2,5,11,23,47,______\displaystyle 2, 5, 11, 23, 47, \_\_\_\_\_\_.

Options

A95
B84
C98
D105
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Correct Answer

✅ Option a — 95

All Options:

  • A95
  • B84
  • C98
  • D105

Detailed Solution & Explanation

We are given the series: 2,5,11,23,47,…\displaystyle 2, 5, 11, 23, 47, \dots
Let's analyze the relationship between consecutive terms in the series:
- 5=2×2+1\displaystyle 5 = 2 \times 2 + 1
- 11=5×2+1\displaystyle 11 = 5 \times 2 + 1
- 23=11×2+1\displaystyle 23 = 11 \times 2 + 1
- 47=23×2+1\displaystyle 47 = 23 \times 2 + 1
The recurrence relation is:
xn=2xn−1+1x_n = 2 x_{n-1} + 1
Following this relation, the next term in the series is:
47×2+1=9547 \times 2 + 1 = 95
Hence, **Option A** is the correct answer.

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