Find the next term in the following sequence.
$2, 3, 11, 38, 102, ?$

402

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182

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227

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168

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None of these

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Solution

The correct option is E $227$
The sequence is $+ 1^{3}, + 2^{3}, + 3^{3}, + 4^{3}, + 5^{3}$ .
$2 + 1 = 3, 3 + 8 = 11, 11 + 27 = 38, 38 + 64 = 102, 102 + 125 = 227$
hence the correct answer is option C.

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