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