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Method of Difference

In following ...

Question

In following question, a number series is given with one term missing. Choose correct alternative
3, 6, 29, 258, ......

A

3364

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B

3127

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C

3844

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D

4096

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Solution

The correct option is A 3127
The pattern is $2 + n^{n}$
So, $2 + 1^{1} = 3$
$2 + 2^{2} = 6$ ,
$2 + 3^{3} = 29$ ,
$2 + 4^{4} = 258$ ,
$∴ N e x t N u m b e r = 2 + 5^{5} = 2 + 3125 = 3127.$
Answer: B

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