Question Details

What should come in place of '?' in the given series?
2 7 22 67 ?

Options

A

202

B

204

C

203

D

201

Show Answer

Correct Answer :

Option A

202

202

Solution :

To find the number that should come in place of the question mark (?) in the series, let's analyze the relationship between consecutive terms of the given series:

2, 7, 22, 67, ?

Let's check the difference or the multiplication pattern between the terms:
First term = 2
Second term = 7
Third term = 22
Fourth term = 67

Let's observe the transition from one term to the next:
From 2 to 7:
2×3+1=7

From 7 to 22:
7×3+1=22

From 22 to 67:
22×3+1=67

Following this consistent pattern, each term is obtained by multiplying the previous term by 3 and then adding 1. Let's apply this rule to find the fifth term (?):
67×3+1=201+1=202

Therefore, the missing number in the series is 202, which corresponds to Option 202.

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