What is the simplified formula for the n-th term of the sequence and what are the first four terms of the sequence: T_n = 2 imes 2n - 2?

The given formula is:

$$T_n = 2 \times 2n - 2$$

First, perform the multiplication:

$$T_n = 4n - 2$$

This is the simplified formula for the $n$-th term.

To find the terms, substitute integer values for $n$ starting from 1.

For the first term ($n=1$):

$$T_1 = 4(1) - 2 = 4 - 2 = 2$$

For the second term ($n=2$):

$$T_2 = 4(2) - 2 = 8 - 2 = 6$$

For the third term ($n=3$):

$$T_3 = 4(3) - 2 = 12 - 2 = 10$$

For the fourth term ($n=4$):

$$T_4 = 4(4) - 2 = 16 - 2 = 14$$

The simplified formula for the $n$-th term is $\boxed{T_n = 4n - 2}$.
The first few terms of the sequence are $\boxed{2, 6, 10, 14, \dots}$.