Answer:
the first 6 numbers are 2916, 972, 324, 108, 36, 12. The "next three numbers" here are 108, 36, 12.
Explanation:
Notice that 2916(1/3) = 972; also, 972(1/3) = 324.
In each case we obtain the "new" number by dividing the previous one by 3.
Focusing on 324, we divide this by 3 to obtain the next number: 108.
Divide this by 3 to obtain 36.
Divide this by 3 to obtain 12.
So, the first 6 numbers are 2916, 972, 324, 108, 36, 12.