The next term in the sequence -1, 6, 25, 62, 123, 214, __ is :

The next term in the sequence -1, 6, 25, 62, 123, 214, __ is :
[A]341
[B]342
[C]343
[D]None of these

341
The sequence is based on the following pattern :
$latex 1^{3}-2 = 1-2 = -1$
$latex 2^{3}-2 = 8-2 = 6$
$latex 3^{3}-2 = 27-2 = 25$
$latex 4^{3}-2 = 64-2 = 62$
$latex 5^{3}-2 = 125-2 = 123$
$latex 6^{3}-2 = 216-2 = 214$
$latex 7^{3}-2 = 343-2 = \underline{341}$
Hence option [A] is the correct answer.


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