Final answer:
The explicit formula for the given sequence is a_n = 50/5^(n-1). The 12th term can be found by substituting n=12 into the formula a_n = 50/5^(n-1).
Step-by-step explanation:
The sequence given is 50, 10, 2, ....
To find the explicit formula for this sequence, we can determine the common ratio between consecutive terms. In this case, each term is obtained by dividing the previous term by 5. So, the explicit formula for this sequence is:
an = 50/5n-1
To find the 12th term, we substitute n = 12 into the formula:
a12 = 50/512-1
a12 = 50/511