2,4,8,14,22,32

The given sequence is 2, 4, 8, 14, 22, 32. To identify the pattern, we *yze the differences between consecutive terms:

The differences form an arithmetic sequence: 2, 4, 6, 8, 10, increasing by 2 each time. The next difference is 12 (since (10 + 2 = 12)).

Adding this to the last term:

[

32 + 12 = boxed{44}

]

Verification via Quadratic Formula:

The sequence can be modeled by (a_n = n^2

[

a_7 = 7^2

]

Thus, the next term in the sequence is 44.