Find out the next term -6, 13, 28, 59, ?

Option a: 122. Solution: We are given the series: -6, 13, 28, 59, ? Discrepancy Note: The negative sign in front of the first term 6 is a typographical error in the question paper; the first term should be 6 instead of -6 . Using 6 , we get the series 6, 13, 28, 59, ? . Let's analyze the recurrence relation: xn = 2 xn-1 + (n-1) for n ≥ 2 Let's verify: - x1 = 6 - x2 = 2(6) + 1 = 13 - x3 = 2(13) + 2 = 28 - x4 = 2(28) + 3 = 59 Following this pattern, the next term is: x5 = 2(59) + 4 = 118 + 4 = 122 Hence, Option A is the correct answer.

Find out the next term $-6, 13, 28, 59, ?$

The correct answer is Option a: 122. We are given the series: $-6, 13, 28, 59, ?$ **Discrepancy Note:** The negative sign in front of the first term $6$ is a typographical error in the question paper; the first term should be $6$ instead of $-6$. Using $6$, we get the series $6, 13, 28, 59, ?$. Let's analyze the recurrence relation: $$x_n = 2 x_{n-1} + (n-1) \quad \text{for } n \ge 2$$ Let's verify: - $x_1 = 6$ - $x_2 = 2(6) + 1 = 13$ - $x_3 = 2(13) + 2 = 28$ - $x_4 = 2(28) + 3 = 59$ Following this pattern, the next term is: $$x_5 = 2(59) + 4 = 118 + 4 = 122$$ Hence, **Option A** is the correct answer.

Number Series, Coding and DecodingMCQPYQ June 22Question 2028 of 217

All Questions

Find out the next term $\displaystyle -6, 13, 28, 59, ?$

Options

A122

B114

C113

D112

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

Correct Answer

✅ Option a — 122

All Options:

A122
B114
C113
D112

Detailed Solution & Explanation

We are given the series:

\displaystyle -6, 13, 28, 59, ?

**Discrepancy Note:**
The negative sign in front of the first term

\displaystyle 6

is a typographical error in the question paper; the first term should be

\displaystyle 6

instead of

\displaystyle -6

. Using

\displaystyle 6

, we get the series

\displaystyle 6, 13, 28, 59, ?

.
Let's analyze the recurrence relation:

x_n = 2 x_{n-1} + (n-1) \quad \text{for } n \ge 2

Let's verify:
-

\displaystyle x_1 = 6

\displaystyle x_2 = 2(6) + 1 = 13

\displaystyle x_3 = 2(13) + 2 = 28

\displaystyle x_4 = 2(28) + 3 = 59

Following this pattern, the next term is:

x_5 = 2(59) + 4 = 118 + 4 = 122

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 out the next term −6,13,28,59,?\displaystyle -6, 13, 28, 59, ?−6,13,28,59,?