Answer:
The given sequence is decreasing by a factor of 2 each time, so each term is half of the previous term.
We can write the nth term of the sequence as:
a_n = a_1 * (1/2)^(n-1)
where a_1 is the first term of the sequence (12 in this case) and n is the position of the term we want to find.
For example, to find the 4th term of the sequence, we would have:
a_4 = 12 * (1/2)^(4-1)
= 12 * (1/2)^3
= 12 * 1/8
= 1.5
Therefore, the formula for the nth term of the sequence 12, 6, 3, ... is:
a_n = 12 * (1/2)^(n-1)