Find the missing number.
$3, 6, 11,_, 27, 38.$

20

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18

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16

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22

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Solution

The correct option is B $18$
Given series is $3, 6, 11,_, 27, 38.$
Here $1^{2}$ $+ 2$ $= 3$
$2^{2}$ $+ 2$ $= 6$
$3^{2}$ $+ 2$ $= 11$
$4^{2}$ $+ 2$ $= 18$
$5^{2}$ $+ 2$ $= 27$
$6^{2}$ $+ 2$ $= 38$
Hence, the answer is $18$ .

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