What should come in place of the question mark (?) in the following number series?
41 164 2624 ? 6045696
Correct Answer: Option C
We are denoting the positions of the numbers. Like:
The number in position 1 is 41
The number in position 2 is 164
The number in position 3 is 2624 & so on.
In the following number series the pattern we observe is:
Any number = the previous number × (2 × the previous number’s position)2
For example: 164 = 41 × (2 × 1)2
[The previous number of 164 is 41 & 41’s position is 1]
Similarly, 2624 = 164 × (2 × 2)2
So, for ‘?’ we can observe:
The previous number of question mark is 2624
The position of the previous number of the question mark is 3
∴ ? = 2624 × (2 × 3)2
⇒ ? = 94464
For confirmation we can check if 6045696 can be obtained from 94464 in similar fashion.
i.e., 6045696 = 94464 × (2 × 4)2
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