Question
Logical Reasoning Question on Series
Find the missing link in the sequences given in the question.
2, 3, 8, 63 ?
A
1038
B
3008
C
3968
D
3268
Answer
3968
Explanation
Solution
1. Look for a Pattern
At first glance, this sequence might seem random. But let's look closer:
- 3 is close to 2 squared (4)
- 8 is close to 3 squared (9)
- 63 is close to 8 squared (64)
2. Identify the Rule
It appears the rule is to square the previous number and then subtract 1. Let's test it:
- 2² - 1 = 4 - 1 = 3
- 3² - 1 = 9 - 1 = 8
- 8² - 1 = 64 - 1 = 63
3. Apply the Rule
To find the missing link, we apply the rule to 63:
- 63² - 1 = 3969 - 1 = 3968
The correct answer is (C): 3968