Final answer:
The nth term of the sequence 12, 10, 8, 6, 4 is given by the expression Tn = 14 - 2n, which is derived using the formula for the nth term of an arithmetic sequence.
Step-by-step explanation:
To find the nth term of the sequence 12, 10, 8, 6, 4, we can observe that this is an arithmetic sequence where each term decreases by 2. The first term of the sequence (a1) is 12, and the common difference (d) is -2.
The general formula for the nth term of an arithmetic sequence is given by:
Tn = a1 + (n - 1)d
Plugging in the values for a1 and d we get:
Tn = 12 + (n - 1)(-2)
Tn = 12 - 2n + 2
Tn = 14 - 2n
Therefore, the expression for the nth term is Tn = 14 - 2n.