Final answer:
The missing numbers in the sequence 270, _____, 30, _______, 3.33, are 30 and 3.3. The pattern involves dividing by a factor, initially unclear, but determined through a process of elimination to be 9 and then subsequently by 10 to get the next number in the sequence.
Step-by-step explanation:
The pattern in the sequence appears to be a division by a multiple of 10 in each step. Starting from 270 and dividing by 10 gives us 27. Continuing this pattern, the next number is obtained by dividing 30 by 10, which gives us 3. To find the missing number following 30, we need to divide 27 by a consistent factor that would eventually lead us to 3.33 when divided further by 10. If we look at the pattern as a series of divisions, then:
270 / X = 30
30 / 10 = 3
3 / 10 = 0.3
We can then back-calculate to see that X, in this case, would need to be 9. Therefore, 270 divided by 9 equals 30. To continue the pattern, we divide 3 by the same factor of 10, to get to 0.3, to approach 3.33. So the completed sequence is:
270, 30, 30, 3.3, 3.33