Find the next number in the series 2, 5, 11, 23, 47, .

Option a: 95. Solution: We are given the series: 2, 5, 11, 23, 47, ... Let's analyze the relationship between consecutive terms in the series: - 5 = 2 × 2 + 1 - 11 = 5 × 2 + 1 - 23 = 11 × 2 + 1 - 47 = 23 × 2 + 1 The recurrence relation is: xn = 2 xn-1 + 1 Following this relation, the next term in the series is: 47 × 2 + 1 = 95 Hence, Option A is the correct answer.

Find the next number in the series $2, 5, 11, 23, 47, \_\_\_\_\_\_$.

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

Number Series, Coding and DecodingMCQPYQ Sep 24Question 2038 of 217

All Questions

Find the next number in the series $\displaystyle 2, 5, 11, 23, 47, \_\_\_\_\_\_$ .

Options

A95

B84

C98

D105

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option a — 95

All Options:

A95
B84
C98
D105

Detailed Solution & Explanation

We are given the series:

\displaystyle 2, 5, 11, 23, 47, \dots

Let's analyze the relationship between consecutive terms in the series:
-

\displaystyle 5 = 2 \times 2 + 1

\displaystyle 11 = 5 \times 2 + 1

\displaystyle 23 = 11 \times 2 + 1

\displaystyle 47 = 23 \times 2 + 1

The recurrence relation is:

x_n = 2 x_{n-1} + 1

Following this relation, the next term in the series is:

47 \times 2 + 1 = 95

Hence, **Option A** is the correct answer.

About This Chapter: Number Series, Coding and Decoding

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Number series, Coding & Decoding, Odd man out

This chapter covers Number series, Coding & Decoding, Odd man out and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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Find the next number in the series 2,5,11,23,47,______\displaystyle 2, 5, 11, 23, 47, \_\_\_\_\_\_2,5,11,23,47,______.